# How do you find the slope and y intercept of 3x - 2y = 12?

May 18, 2015

3x - 2y = 12

$2 y = 3 x - 12 \to y = \frac{3 x}{2} - 6$

Slope: 3/2

y-intercept. Make x = 0 -> y = -6.

May 18, 2015

Problem: Find the slope and y intercept of $3 x - 2 y = 12$ .

The slope-intercept form of a linear equation is $y = m x + b$, where $m$ is the slope and $b$ is the y-intercept. Rearrange the equation so that it fits the slope-intercept form.

Subtract $3 x$ from both sides of the equation.

$- 2 y = - 3 x + 12$

Multiply times both sides times $- 1$ .

$2 y = 3 x - 12$

Divide both sides by $2$.

$y = \frac{3}{2} x - 6$

$y = m x + b$

Slope, $m$, is $\frac{3}{2}$;

y-intercept, $b$, is $- 6$