{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2016-03-26T08:02:44+00:00","modifiedTime":"2016-03-26T08:02:44+00:00","timestamp":"2022-09-14T17:52:26+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Math","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33720"},"slug":"math","categoryId":33720},{"name":"Geometry","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33725"},"slug":"geometry","categoryId":33725}],"title":"Coordinate Geometry Formulas","strippedTitle":"coordinate geometry formulas","slug":"coordinate-geometry-formulas","canonicalUrl":"","seo":{"metaDescription":"Coordinate geometry is the study of geometric figures graphed on a coordinate plane. The slope formula can be used to determine whether lines are parallel or pe","noIndex":0,"noFollow":0},"content":"<p>Coordinate geometry is the study of geometric figures graphed on a coordinate plane. The slope formula can be used to determine whether lines are parallel or perpendicular. The midpoint can be used to determine if segments are bisected and also can be used to find the center of a circle. The distance formula can be used to determine the lengths of sides of geometric figures.</p>\n<ul class=\"level-one\">\n <li><p class=\"first-para\"><b>Distance formula:</b></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/470533.image0.png\" height=\"28\" alt=\"image0.png\" width=\"154\"/>\n </li>\n <li><p class=\"first-para\"><b>Midpoint formula:</b></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/470534.image1.png\" height=\"36\" alt=\"image1.png\" width=\"130\"/>\n </li>\n <li><p class=\"first-para\"><b>Slope formula:</b></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/470535.image2.png\" height=\"33\" alt=\"image2.png\" width=\"69\"/>\n </li>\n <li><p class=\"first-para\"><b>Slope-intercept form of a line:</b></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/470536.image3.png\" height=\"18\" alt=\"image3.png\" width=\"62\"/>\n </li>\n <li><p class=\"first-para\"><b>Point-slope form of a line:</b></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/470537.image4.png\" height=\"22\" alt=\"image4.png\" width=\"114\"/>\n </li>\n</ul>","description":"<p>Coordinate geometry is the study of geometric figures graphed on a coordinate plane. The slope formula can be used to determine whether lines are parallel or perpendicular. The midpoint can be used to determine if segments are bisected and also can be used to find the center of a circle. The distance formula can be used to determine the lengths of sides of geometric figures.</p>\n<ul class=\"level-one\">\n <li><p class=\"first-para\"><b>Distance formula:</b></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/470533.image0.png\" height=\"28\" alt=\"image0.png\" width=\"154\"/>\n </li>\n <li><p class=\"first-para\"><b>Midpoint formula:</b></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/470534.image1.png\" height=\"36\" alt=\"image1.png\" width=\"130\"/>\n </li>\n <li><p class=\"first-para\"><b>Slope formula:</b></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/470535.image2.png\" height=\"33\" alt=\"image2.png\" width=\"69\"/>\n </li>\n <li><p class=\"first-para\"><b>Slope-intercept form of a line:</b></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/470536.image3.png\" height=\"18\" alt=\"image3.png\" width=\"62\"/>\n </li>\n <li><p class=\"first-para\"><b>Point-slope form of a line:</b></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/470537.image4.png\" height=\"22\" alt=\"image4.png\" width=\"114\"/>\n </li>\n</ul>","blurb":"","authors":[{"authorId":8986,"name":"Allen Ma","slug":"allen-ma","description":" <p><b>Allen Ma </b>and<b> Amber Kuang </b>are math teachers at John F. Kennedy High School in Bellmore, NY. Allen has taught geometry for more than 25 years, has coached the math team, and is a former honors math research coordinator. Amber has taught all levels of math, from algebra to calculus, for 20 years.</p> ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8986"}},{"authorId":8987,"name":"Amber Kuang","slug":"amber-kuang","description":" <p><b>Allen Ma </b>and<b> Amber Kuang </b>are math teachers at John F. Kennedy High School in Bellmore, NY. Allen has taught geometry for more than 25 years, has coached the math team, and is a former honors math research coordinator. 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Coordinate Geometry Formulas

By: Allen Ma and Amber Kuang and

Updated: 03-26-2016

From The Book: Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice)

Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice)

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Coordinate geometry is the study of geometric figures graphed on a coordinate plane. The slope formula can be used to determine whether lines are parallel or perpendicular. The midpoint can be used to determine if segments are bisected and also can be used to find the center of a circle. The distance formula can be used to determine the lengths of sides of geometric figures.

Distance formula:
Midpoint formula:
Slope formula:
Slope-intercept form of a line:
Point-slope form of a line:

About This Article

This article is from the book:

Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice) ,

About the book authors:

Allen Ma and Amber Kuang are math teachers at John F. Kennedy High School in Bellmore, New York. Allen, who has taught geometry for 20 years, is the math team coach and a former honors math research coordinator. Amber has taught all levels of mathematics, from algebra to calculus, for the past 14 years.

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