# How do you write an equation for the line that passes through (-5, 7) and whose slope is 6?

Apr 16, 2018

color(maroon)(6x - y + 37 = 0

#### Explanation:

We will use color(crimson)("Point - Slope Form"

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

$\left({x}_{1} , {y}_{1}\right) = \left(- 5 , 7\right) , m = 6$

$y - 7 = 6 \cdot \left(x - \left(- 5\right)\right)$

$y - 7 = 6 x + 30$

$y - 6 x = 30 + 7 = 37$

color(maroon)(6x - y + 37 = 0