# What is the slope and y intercept of  5x - 3y = 30?

Oct 4, 2015

The slope is $\frac{5}{3}$.
The y-intercept is $- 10$.

#### Explanation:

$5 x - 3 y = 30$ is the standard form for a linear equation. The slope-intercept form is $y = m x + b$, where $m$ is the slope, and $b$ is the y-intercept. To convert from standard form to slope-intercept form, solve the standard form for $y$.

$5 x - 3 y = 30$

Subtract $5 x$ from both sides of the equation.

$- 3 y = 30 - 5 x$

Divide both sides by $- 3$.

$y = \frac{30}{- 3} - \frac{5 x}{- 3} =$

$y = - 10 + \frac{5}{3} x$

Rearrange the right hand side.

$y = \frac{5}{3} x - 10$

$m = \frac{5}{3} ,$ $b = - 10$

graph{y=5/3x-10 [-10, 10, -5, 5]}