Question

How do you write the equation in slope intercept form given `3x - 2y = -6`?

Answer 1

`y=3/2x+3`

Explanation:

The slope intercept form of a line is given as:

`y=mx+b`

Where:

`bbm` is the gradient and `bb(b)` is the y axis intercept.

Our task is to rearrange our function so it is in the same form.

`3x-2y=-6`

Subtract `3x` from both sides:

`3x-3x-2y=-6-3x`

`-2y=-6-3x`

Divide both sides by `-2`

`(-2y)/(-2)=(-6)/(-2) \ \ (-3x)/(-2)`

`y=3+3/2x`

`y=3/2x+3`