How to Find X-Intercept, Y-Intercept and Intersections

Learn how to find the x- and y-intercepts of a linear equation and where two straight lines intersect. Let’s get started! 🚀

How to Find X-Intercept, Y-Intercept and Intersections - introduction visual

Video Lesson

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Flashcards

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Diagram explaining the x- and y-intercepts of linear equations using the equation y = 200 - 50x, illustrating where the line crosses the axes.Intersection of two linear equations, y = 200 - 50x and y = 150 - 30x, at point (2.5, 75) with x-axis as hours drove and y-axis as remaining distance.Steps to find the intersection of two linear equations by setting equations equal and solving for x and y, with equations and example values.

🛎️ Finding Intercepts from an Equation

  • For y = 200 − 50x, setting x = 0 gives a y-intercept of 200.
  • Setting y = 0 and solving 0 = 200 − 50x gives the x-intercept of 4.

🛎️ Intersections of Linear Equations

  • An intersection is the point where two lines meet.
  • At the intersection, both equations have the same x and y values.

🛎️ Finding the Intersection Point

  • Set the two equations equal to each other to find x.
  • Put the value of x back into any equation to find y.

Practice Questions

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Interactive Activity

Graph linear equations and find their intersection point

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