# What is the equation of the line with slope  m= -5 that passes through  (-13,18) ?

Apr 15, 2018

$y = - 5 x - 47$

#### Explanation:

To solve this equation use point slope form:

$y - {y}_{1} = m \left(x - {x}_{1}\right)$

Now just plug in the slope for m, and the coordinate point $\left({x}_{1} , {y}_{1}\right)$

It'll look like this:

$y - 18 = - 5 \left(x - \left(- 13\right)\right)$

$y - 18 = - 5 \left(x + 13\right)$<-- you could leave your answer like this, but if they ask you the answer in standard form then do the steps below as well.

Now just simplify (distribute the -5, then add 18 to both sides)

$y - 18 = - 5 x - 65$
$y = - 5 x - 65 + 18$

$y = - 5 x - 47$