# How do you find the slope and intercept of 3y=7?

Jul 17, 2018

$\text{slope} = m = 0$; $\text{ } y$-intercept $\left(0 , \frac{7}{3}\right)$

#### Explanation:

Given: $3 y = 7$

The slope - intercept form of a line: $y = m x + b$,

where $m$ = the slope and $b$ is the $y$-intercept $\left(0 , b\right)$

Put the given equation in slope - intercept form by dividing both sides of the equation by $3$:

$\frac{3}{3} y = \frac{7}{3}$

$y = \frac{7}{3} \text{ " => " } y = 0 x + \frac{7}{3}$

This is a horizontal line. They have slope $= 0$.

This means $\text{slope} = m = 0$; $\text{ } y$-intercept $\left(0 , \frac{7}{3}\right)$