# How do you find the slope and y-intercept for the line y=-7?

Sep 23, 2015

For the equation $y = - 7$
- the slope is $0$
- the y-intercept is $- 7$

#### Explanation:

The slope is defined as the change in $y$ for a corresponding change in $x$
Since the value of $y$ does not change (i.e. its change is $0$) no matter by how much $x$ changes,
the slope is $0$

The y-intercept is the value of $y$ when $x = 0$.
$y = - 7$ for all values of $x$
and therefore the y-intercept is $- 7$

Note that the equation $y = - 7$ is a vertical line, 7 units below the X-axis.