# What is the slope and y-intercept of 7x - 14y = 35?

May 11, 2018

$\text{slope "=1/2," y-intercept } = - \frac{5}{2}$

#### Explanation:

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

•color(white)(x)y=mx+b

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

$\text{rearrange "7x-14y=35" into this form}$

$\text{subtract "7x" from both sides}$

$\Rightarrow - 14 y = - 7 x + 35$

$\text{divide all terms by } - 14$

$\Rightarrow y = \frac{1}{2} x - \frac{35}{14} \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$

$\text{with slope "=1/2" and y-intercept } = - \frac{35}{14} = - \frac{5}{2}$