3 Ways to Algebraically Find the Intersection of Two Lines

CategoriesEducation and CommunicationsStudyingMathematicsAlgebraDownload ArticleExplore this Articlemethods1Finding the Intersection of Two Straight Lines2Problems with Quadratic EquationsPractice Problems and AnswersOther SectionsVideoTips and WarningsRelated ArticlesReferencesArticle SummaryCo-authored byMario Banuelos, PhDLast Updated: July 1, 2024Fact CheckedDownload ArticleWhen straight lines intersect on a two-dimensional graph, they meet at only one point,[1] described by a single set of - and -coordinates. Because both lines pass through that point, you know that the - and - coordinates must satisfy both equations. With a couple extra techniques, you can find the intersections of parabolas and other quadratic curves using similar logic.Method 1Method 1 of 2:Finding the Intersection of Two Straight LinesDownload Article1Write the equation for each line with on the left side. If necessary, rearrange the equation so is alone on one side of the equal sign. If the equation uses or i...