# What is the slope and y-intercept of this line y = –2x + 8?

Apr 13, 2018

slope: $- 2$

$y$-intercept : $\left(0 , 8\right)$

Here's how I did it:

#### Explanation:

This linear equation is in slope-intercept form, or:

From this image, you can see that $m$, or the slope, is the value in front of $x$. In our example, $- 2$ is multiplying the $x$, so we know that $- 2$ is the slope.

$y$-intercept refers to the value of $y$ when you plug in $0$ for $x$.

So let's do that:
$y = - 2 \left(0\right) + 8$

$y = 0 + 8$

$y = 8$

So we know the $y$-intercept is $\left(0 , 8\right)$.

To conclude:

slope: $- 2$

$y$-intercept : $\left(0 , 8\right)$

Hope this helps!