# How do you find the x and y intercepts for y=x-2?

Jan 23, 2017

The y-intercept is $- 2$ and the point is $\left(0 , - 2\right)$.

The x-intercept is $2$, and the point is $\left(2 , 0\right)$.

#### Explanation:

$y = x - 2$ is in point-slope form $y = m x + b$, where $m$ is the slope and $b$ is the y-intercept. The y-intercept is the value of $y$ when $x$ is $0$.

For $y = x - 2$, the y-intercept is $- 2$ and the point is $\left(0 , - 2\right)$.

To find the x-intercept, make $y$ equal to zero and solve for $x$.

$0 = x - 2$

Add $2$ to both sides.

$2 = x$

The x-intercept is $2$, and the point is $\left(2 , 0\right)$.