# How do you write an equation in standard form given point (-5,4) and slope -4?

Jul 21, 2016

$y = - 4 x - 16 \text{ }$ is the equation of the line.

#### Explanation:

There is a nifty formula which you can use in a case exactly like this where you have a point $\left({x}_{1} , {y}_{1}\right)$ and the slope, $m$

y-y_1 = m(x-(x_1) with $m = - 4 \mathmr{and} \left(- 5 , 4\right)$

Substitute the values...

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

$y - 4 = - 4 \left(x + 5\right) \text{ multiply out and simplify}$

$y = - 4 x - 20 + 4$

$y = - 4 x - 16$ is the equation of the line.