# What is the X intercept of Y + 12=3(x-9)? Substitute 0 for X or y? And solve for ??? X or y?

Jun 28, 2018

$\left(13 , 0\right)$

#### Explanation:

The $x$ intercept is the point in which the line intersects the $x$ axis.

Every point belonging to the $x$ axis has coordinates $\left(x , 0\right)$, i.e. any value for the $x$ coordinate, but the $y$ coordinate is always zero.

And this is the key for finding it: you must set $y = 0$, and solve for $x$. In this case, it means

$12 = 3 \left(x - 9\right)$

divide both sides by $3$:

$4 = x - 9$

add $9$ to both sides:

$x = 13$

So, the $x$ intercept is the point $\left(13 , 0\right)$