Question

Which of the following is a correct equation for the line passing through the

point (-3,2) and having slope m = 2/3?
Check all that apply.
A. V-2 ={(x+3)
c. "=3x+4
D. 21 – 3y = - 12

Answer 1

`2x-3y=-12`

Explanation:

We can use the point-slope formula given by:

`y-y_1=m(x-x_1)`

The given line passes through the

point (-3,2) and having slope
`m=(2)/(3)`.

We substitute the given point and slope to get:

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

`y-2=(2)/(3)(x+3)`

we clear the fraction to get;

`3y-6=2(x+3)`

`3y-6=2x+6`

`3y-2x=6+6`

`3y-2x=12`

Or in standard form:

`2x-3y=-12`