Question

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

Answer 1

3x - 2y = 12

`2y = 3x - 12 -> y = (3x)/2 - 6`

Slope: 3/2

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

Answer 2

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

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

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

`-2y=-3x+12`

Multiply times both sides times `-1` .

`2y=3x-12`

Divide both sides by `2`.

`y=3/2x-6`

`y=mx+b`

Slope, `m`, is `3/2`;

y-intercept, `b`, is `-6`