# What is the slope-intercept form of -3x+12y=24?

Jun 15, 2018

$y = \frac{1}{4} x + 2$

#### Explanation:

To put in the slope-intercept form, solve in terms of $y$:

$- 3 x + 12 y = 24$

$12 y = 3 x + 24$

$\frac{12 y}{12} = \frac{3 x}{12} + \frac{24}{12}$

$y = \frac{1}{4} x + 2$

Jun 15, 2018

$y = \frac{1}{4} x + 2$

#### Explanation:

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

•color(white)(x)y=mx+b

$\text{add "3x" to both sides}$

$12 y = 3 x + 24$

$\text{divide all terms by 12}$

$y = \frac{1}{4} x + 2 \leftarrow \textcolor{red}{\text{in slope-intercept form}}$