# What is the slope of a line with the equation (y + 3) = 5(x - 2)?

Jun 3, 2018

$\text{slope } = 5$

#### Explanation:

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

•color(white)(x)y=mx+b

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

$\text{given } y + 3 = 5 \left(x - 2\right)$

$\text{distribute and rearrange}$

$y + 3 = 5 x - 10$

$y = 5 x - 13 \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$

$\text{with slope } = 5$