Find the x intercept and y intercept of the line 3x-2y=-6

x = -2 and y = 3

Step-by-step explanation:

To get x, plug y=0 into the equation and solve from there:

3x(-2 x 0) = -6

anything multiplied by zero is also equivalent to zero, so the equation will now look like this:

3x=-6

To isolate x, divide the equation on the left by the coefficient (3), and do the same for the other side:

(3x/3)=(-6/3)

This leaves the equation with:

x = -2

Now to solve for y, do the same thing for when you solved for x.  Plug x=0 into the equation you started with: 3x-2y=-6

It will now look like this:

(3 x 0)-2y=-6

Simplify the expression by solving the equation in the parenthesis:

-2y=-6

Divide by -2 on each side:

y=3

Hope this helped!