# How do you find the slope given 4x + y = 7?

May 15, 2018

$\text{slope } = - 4$

#### Explanation:

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

•color(white)(x)y=mx+b

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

$\text{rearrange "4x+y=7" into this form}$

$\text{subtract "4x" from both sides}$

$\Rightarrow y = - 4 x + 7 \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$

$\text{with slope } = - 4$