# What is the equation of a line that has a slope of 4 and goes through (-4, -7)?

Apr 27, 2018

$y = 4 x + 9$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+b

$\text{where m is the slope and b the y-intercept}$

$\text{here } m = 4$

$\Rightarrow y = 4 x + b \leftarrow \textcolor{b l u e}{\text{is the partial equation}}$

$\text{to find b substitute "(-4,-7)" into the partial equation}$

$- 7 = - 16 + b \Rightarrow b = - 7 + 16 = 9$

$\Rightarrow y = 4 x + 9 \leftarrow \textcolor{red}{\text{is the equation}}$