# How do you find the slope and intercept of y - x > 2?

Dec 13, 2017

The slope is 1 and the $y$-intercept is $\left(0 , 2\right)$.

#### Explanation:

I like to start these problems by solving for $y$ so that the slope and intercept are more obvious. The given inequality can be rewritten as:

$y > x + 2$

This is in the form $y > m \cdot x + b$. In this form $m$ is the slope and $b$ is the $y$-coordinate of the $y$-intercept. The actual $y$-intercept is the ordered pair $\left(0 , b\right)$.

For this problem the slope is 1 and the $y$-intercept is $\left(0 , 2\right)$.

To graph you would use a dotted/dashed line and shade the half of the plane that does not contain the origin.