# What is the slope of the line 3x + 5y = 15?

May 19, 2018

$\text{slope } = - \frac{3}{5}$

#### Explanation:

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

•color(white)(x)y=mx+b

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

$\text{rearrange "3x+5y=15" into this form}$

$\text{subtract "3x" from both sides}$

$5 y = - 3 x + 15$

$\text{divide all terms by 5}$

$\Rightarrow y = - \frac{3}{5} x + 3 \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$

$\text{with slope "=-3/5" and y-intercept } = 3$