# How do you find the x and y intercepts for  y= -9x?

Mar 2, 2018

The x-intercept is $\left(0 , 0\right)$.

The y-intercept is $\left(0 , 0\right)$.

The line has a negative and steep slope, and passes through the origin.

#### Explanation:

Given:

$y = - 9 x$

The x-intercept is the value of $x$ when $y = 0$.

Substitute $0$ for $y$ and solve for $x$:

$0 = - 9 x$

Divide both sides by $- 9$:

0/(-9)=(color(red)cancel(color(black)(-9))^1x)/(color(red)cancel(color(black)(-9))^1

color(red)("x-intercept:" $\left(0 , 0\right)$

The y-intercept is the value of $y$ when $x = 0$.

Substitute $0$ for $x$ and solve for $y$:

$y = - 9 \left(0\right)$

$y = 0$

color(blue)("y-intercept:" $\left(0 , 0\right)$

The line has a negative and steep slope, and passes through the origin:

graph{y=-9x [-10, 10, -5, 5]}