{"id":1631,"date":"2022-04-21T09:26:01","date_gmt":"2022-04-21T09:26:01","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1631"},"modified":"2023-06-09T11:01:05","modified_gmt":"2023-06-09T11:01:05","slug":"origin-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/origin","title":{"rendered":"Origin in Math &#8211; Definition With Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-6e0caa50-b451-4ecf-8d6d-9f1d9e3a4aaf\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/origin#0-definition-of-origin-in-math>Definition of Origin in Math<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/origin#1-origin-on-the-number-line>Origin on the Number Line<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/origin#2-origin-in-the-cartesian-plane>Origin in the Cartesian Plane<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/origin#6-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/origin#7-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/origin#8-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-definition-of-origin-in-math\">Definition of Origin in Math<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In mathematics, especially in the field of coordinate geometry; origin is said to be the initial point or the starting point from where we begin our calculations or measurements.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">On a ruler, the 0 is from where we start our measurements; hence it is said to be the origin of the scale.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">On a weighing machine, we measure our weight when the scale shows zero.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">In terms of temperature, when we go below 0 degrees Celsius, it starts getting colder whereas above 0 it starts getting hotter. Hence, it is the point from where we start our measurements.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-origin-on-the-number-line\">Origin on the Number Line<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The origin on the number line is defined as 0. It divides the number line into two parts as given below:&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"285\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Origin-math-1.png\" alt=\"Origin on a number line\" class=\"wp-image-7773\" title=\"Origin on a number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Origin-math-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Origin-math-1-300x138.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">On the left side of origin, we have the negative numbers and on the right side, we have the positive numbers. Whenever we say that we have started from a point, we always say that we have started from 0 or origin.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The origin, i.e., 0, is greater than the negative numbers and smaller than the positive numbers.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-origin-in-the-cartesian-plane\">Origin in the Cartesian Plane<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The Cartesian Plane is a plane formed by the two number lines\u2014vertical and horizontal. The point at which these two number lines intersect each other is known as the point of intersection which is also known as the origin. It is denoted by the letter O, which is used as a fixed point of reference for the geometry of the surrounding plane. The coordinates of the origin are denoted by (0, 0). It means that at origin, x=0 and y=0. The origin divides each of these axes into two halves\u2014positive and negative.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"832\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Origin-math-2.png\" alt=\"Origin on a coordinate plane\" class=\"wp-image-7772\" title=\"Origin on a coordinate plane\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Origin-math-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Origin-math-2-224x300.png 224w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-distance-of-a-point-from-the-origin\">Distance of a point from the origin<\/h2>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Point lies on the x-axis.&nbsp;<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">Any point on the x axis is of the form (x, 0). Its distance from the origin will just be x units.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Consider two points, A(3, 0) and B(\u20133, 0). Now let\u2019s find their distance from the origin.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Distance of A(3, 0) from the origin = |3| units = 3 units<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Distance of B(\u20133, 0) from the origin = |\u20133| units = 3 units<\/p>\n\n\n\n<p class=\"eplus-wrapper\">This means that the distance of both the points is 3 units from the origin.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The reason for applying the absolute value sign is because distance cannot be negative.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"869\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Origin-math-3.png\" alt=\"Points on x-axis\" class=\"wp-image-7771\" title=\"Points on x-axis\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Origin-math-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Origin-math-3-214x300.png 214w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Point lies on the y-axis.&nbsp;<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">Any point on the y axis is of the form (0, y). Its distance from the origin will just be y units.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"665\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Origin-math-4.png\" alt=\"Points on y-axis\" class=\"wp-image-7769\" title=\"Points on y-axis\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Origin-math-4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Origin-math-4-280x300.png 280w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Any point on the y-axis is of the form (0, <em>y<\/em>). Its distance from the origin will just be y units.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Consider two points, P(0, 4) and Q(0, \u20134). Now let\u2019s find their distance from the origin.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Distance of P(0, 4) from the origin = |4| units = 4 units<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Distance of Q(0, \u20134) from the origin = |\u20134| units = 4 units<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, these points are also equidistant from the origin.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-equation-of-line-passing-through-the-origin-\">Equation of Line Passing through the Origin&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The lines that pass through the origin are of the form <em>y<\/em> = <em>mx<\/em> where <em>m<\/em> is a constant. Here, \u201c<em>m<\/em>\u201d can be rational or irrational.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s consider the equation: <em>y<\/em> = 2<em>x<\/em>. To plot this equation on the graph, we substitute a value of x in the equation to get the corresponding value of y. These values of x and y form the ordered pair (x, y). We repeat this for different values of x to get at least 3 ordered pairs. We may record our values in tabular form.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td><strong><em>y<\/em><\/strong><strong> = 2<\/strong><strong><em>x<\/em><\/strong><\/td><\/tr><tr><td><strong>x<\/strong><\/td><td>1<\/td><td>2<\/td><td>\u20133<\/td><\/tr><tr><td><strong>y<\/strong><\/td><td>2<\/td><td>4<\/td><td>\u20136<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">On plotting the graph, we will get a straight line passing through the origin.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"904\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Origin-math-5.png\" alt=\"Line passing through origin on coordinate plane\" class=\"wp-image-7768\" title=\"Line passing through origin on coordinate plane\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Origin-math-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Origin-math-5-206x300.png 206w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-origin-facts\">Origin Facts<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">We can check if the graph of an equation will pass through the origin by substituting x = 0 in the equation. If you get y = 0, then the line of the equation will pass through the origin.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1: Find the distance of the point&nbsp; from the origin on a number line.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: The distance of the point -10 from the origin, i.e., 0 on a number line =10 units<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Find the distance of the point <\/strong><strong>(0, -7)<\/strong><strong> from the origin.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: The distance of (0, -7) from (0, 0)=-7=7 units&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. What is the origin of the Cartesian Plane?&nbsp;Solution<\/strong>: In the Cartesian Plane, the point at which the two axes meet is known as origin. The coordinates of the origin are denoted by (0, 0).<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Origin in Math - Definition With Examples<\/h2><p style=\"display:none;\">Attend this quiz & test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following is not an equation of line passing through the origin?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$y=-3x$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$y=-3x+1$<\/div><div class=\"spq_answer_block\" data-value=\"2\"> $y=$$\\frac{x}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$y=2x$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $y=-3x+1$<br\/>$y=-3x+1$ is not an equation passing through the origin as when we substitute<br>\r\n$x=0$, we don\u2019t get $y=0$. <\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What are the coordinates of the origin on the Cartesian Plane?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">(0, 0, 0)<\/div><div class=\"spq_answer_block\" data-value=\"1\">(10, 0)<\/div><div class=\"spq_answer_block\" data-value=\"2\">(0, 0)<\/div><div class=\"spq_answer_block\" data-value=\"3\">0<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: (0, 0)<br\/>On the Cartesian Plane, the origin is denoted by (0, 0), which implies $x = 0$ and $y = 0$. <\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Which of the following is a graph of a line passing through the origin?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">B<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-3A.png\" alt=\"B\"><\/div><div class=\"spq_answer_block\" data-value=\"1\">C<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-3B.png\" alt=\"C\"><\/div><div class=\"spq_answer_block\" data-value=\"2\">D<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-3C.png\" alt=\"D\"><\/div><div class=\"spq_answer_block\" data-value=\"3\">D<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-3D.png\" alt=\"D\"><\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: D<br\/>D is the graph that has a line that passes through the origin, i.e., if $x=0$ then $y=0$.<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-3D.png\"><\/div><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": 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                    \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \" $$y=$$$$\\\\frac{x}{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$y=-3x+1$$ is not an equation passing through the origin as when we substitute<br>\r\n$$x=0$$, we don\u2019t get $$y=0$$. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$y=2x$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$y=-3x+1$$ is not an equation passing through the origin as when we substitute<br>\r\n$$x=0$$, we don\u2019t get $$y=0$$. \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$y=-3x+1$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$y=-3x+1$$ is not an equation passing through the origin as when we substitute<br>\r\n$$x=0$$, we don\u2019t get $$y=0$$. \"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$y=-3x+1$$ is not an equation passing through the origin as when we substitute<br>\r\n$$x=0$$, we don\u2019t get $$y=0$$. \"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What are the coordinates of the origin on the Cartesian Plane?\",\n                    \"text\": \"What are the coordinates of the origin on the Cartesian Plane?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"On the Cartesian Plane, the origin is denoted by (0, 0), which implies $$x = 0$$ and $$y = 0$$. \"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"(0, 0, 0)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On the Cartesian Plane, the origin is denoted by (0, 0), which implies $$x = 0$$ and $$y = 0$$. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"(10, 0)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On the Cartesian Plane, the origin is denoted by (0, 0), which implies $$x = 0$$ and $$y = 0$$. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On the Cartesian Plane, the origin is denoted by (0, 0), which implies $$x = 0$$ and $$y = 0$$. \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"(0, 0)\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"On the Cartesian Plane, the origin is denoted by (0, 0), which implies $$x = 0$$ and $$y = 0$$. \"\n                        },\n                      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\"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"B <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-3A.png\\\"\/>\",\n                                \n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"D is the graph that has a line that passes through the origin, i.e., if $$x=0$$ then $$y=0$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"C <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-3B.png\\\"\/>\",\n                                \n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"D is the graph that has a line that passes through the origin, i.e., if $$x=0$$ then $$y=0$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"D <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-3C.png\\\"\/>\",\n                                \n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"D is the graph that has a line that passes through the origin, i.e., if $$x=0$$ then $$y=0$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"D\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"D is the graph that has a line that passes through the origin, i.e., if $$x=0$$ then $$y=0$$. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-3D.png\\\"\/>\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"D is the graph that has a line that passes through the origin, i.e., if $$x=0$$ then $$y=0$$. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-3D.png\\\"\/>\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-f6deba48-4aeb-47bd-afaa-60c38d958dc4\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-f6deba48-4aeb-47bd-afaa-60c38d958dc4\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f6deba48-4aeb-47bd-afaa-60c38d958dc4\"><strong>Why are the coordinates of origin called (0, 0)?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-f6deba48-4aeb-47bd-afaa-60c38d958dc4\">\n\n<p>In a Cartesian Plane, the coordinates of origin are (0, 0) because at this point, x=0 and y=0.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-f6deba48-4aeb-47bd-afaa-60c38d958dc4\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f6deba48-4aeb-47bd-afaa-60c38d958dc4\"><strong>Where is the origin in a graph?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-f6deba48-4aeb-47bd-afaa-60c38d958dc4\">\n\n<p>On the Cartesian Plane, the origin is the point of intersection of horizontal and vertical axes. Most often, it is placed at the center of the Cartesian Plane.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-f6deba48-4aeb-47bd-afaa-60c38d958dc4\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f6deba48-4aeb-47bd-afaa-60c38d958dc4\"><strong>What is the rule of rotation by 180 about the origin?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-f6deba48-4aeb-47bd-afaa-60c38d958dc4\">\n\n<p>The rule for a rotation by <strong>180<\/strong>about the origin is given by $(x,y) \u2192 (-x,\u2212y)$.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Definition of Origin in Math In mathematics, especially in the field of coordinate geometry; origin is said to be the initial point or the starting point from where we begin our calculations or measurements. On a ruler, the 0 is from where we start our measurements; hence it is said to be the origin of &#8230; <a title=\"Origin in Math &#8211; Definition With Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/origin\" aria-label=\"More on Origin in Math &#8211; Definition With Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1631","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1631","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=1631"}],"version-history":[{"count":14,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1631\/revisions"}],"predecessor-version":[{"id":30348,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1631\/revisions\/30348"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1631"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1631"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1631"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}