# How do you use the cover-up method to solve for the x and y intercept?

Nov 2, 2014

I suppose that "cover-up" is a friendlier term for "setting a variable equal to zero," so if you are looking for the $x$-intercept of a line, then set $y$ equal to zero, and for $y$-intercept, set $x$-equal to zero.

Example

Let us find the $x , y$-intercepts of the line

$2 x + 3 y = 12$.

To find the $x$-intercept, set $y = 0$.

$\implies 2 x + 3 \left(0\right) = 12 \implies 2 x = 12 \implies x = 6$

So, the $x$-intercept is $6$.

To find the $y$-intercept, set $x = 0$.

$\implies 2 \left(0\right) + 3 y = 12 \implies 3 y = 12 \implies y = 4$

So, the $y$-intercept is $4$.

I hope that this was helpful.