# How do you write an equation in point slope form given Point: (-2, 4); Slope: 5?

Jul 6, 2016

$y = 5 x + 14$

#### Explanation:

There is a very useful formula for the equation of a straight line if you have the slope and one point.

$y - {y}_{1} = m \left(x - {x}_{1}\right) \text{ "(x,y)" is a general point}$

Substitute for $m \mathmr{and} \left({x}_{1} , {y}_{1}\right)$
$m = 5 \mathmr{and} \left(- 2 , 4\right)$

$y - 4 = 5 \left(x - \left(- 2\right)\right)$

$y - 4 = 5 \left(x + 2\right)$

$y = 5 x + 10 + 4$

$y = 5 x + 14$