# What is the slope-intercept form of the equation of the line through the point (-8, 7) and parallel to the line x + y = 13?

Mar 30, 2018

$y = - x - 1$

#### Explanation:

We know that this line will have the same slope as the line $x + y = 13$, as they are parallel, so we need to find the slope first.
$y = - x + 13$ $m = - 1$

Now, we can use the coordinates given and the slope we just found and plug the information into point-slope form.
$y - {y}_{1} = m \left(x - {x}_{1}\right)$
$y - 7 = - 1 \left(x + 8\right)$
$y - 7 = - x - 8$
$y = - x - 1$