# What are the intercepts for y= - 2/3x - 12?

May 23, 2018

#### Answer:

x-intercept is: $x = - 18$
y-intercept is: $y = - 12$

#### Explanation:

$y = - \frac{2}{3} x - 12$

This is in the slope point form $y = m x + b$, m is the slope and b is the y-intercept.

$m = - \frac{2}{3}$

$b = - 12$

So y-intercept is: $y = - 12$

to find the x-intercept set $y = 0$ and solve for $x$:

$0 = - \frac{2}{3} x - 12$

$12 = - \frac{2}{3} x$

$12 = - \frac{2}{3} x$

$x = - 18$

So x-intercept is: $x = - 18$

graph{- 2/3x - 12 [-29.75, 10.25, -15.12, 4.88]}