# What is the slope-intercept form of -5x + 7y = 1 ?

May 17, 2018

$y = \frac{5}{7} x + \frac{1}{7}$

#### Explanation:

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

•color(white)(x)y=mx+b

$\text{add "5x" to both sides}$

$\cancel{- 5 x} \cancel{+ 5 x} + 7 y = 5 x + 1$

$\Rightarrow 7 y = 5 x + 1$

$\text{divide all terms by 7}$

$y = \frac{5}{7} x + \frac{1}{7} \leftarrow \textcolor{red}{\text{in slope-intercept form}}$