Solving for X and Y Intercepts Given an Equation in Standard Form

Solving for X and Y Intercepts Given an Equation in Standard Form

By Hannah, Elicia, Ria, and Micheng

X and Y Intercepts X intercept: The x intercept is where the line on the graph intersects through the x axis. Whenever this occurs, the y value is always zero.

Y intercept: The y intercept is where the line on the graph intersects through the y axis. Whenever this occurs, the x value is always zero.

Standard Form Standard Form: Standard form is written as ax + by = c.

4x + 5y = 3 Solving for the X-Intercept 1) Substitute y, for 0 - 4x + 5(0) = 3 2) Simplify - 4x = 3 3) Isolate x - x=ž

(ž,0)

4x + 5y = 3 Solving for the Y-Intercept 1) Substitute x, for 0 - 4(0) + 5y = 3 2) Simplify - 5y = 3 3) Isolate y - y=⅗

(0,⅗)

Simply Put: If you want to solve for the x intercept, substitute y for 0 If you want to solve for the y intercept, substitute x for 0