What are the intercepts of the equation? -3x+4y=-12

X-intercept can be found when y=0
y-intercept can be found when x=0

Plug in x=0 to find the y-intercept

-3(0) + 4y = -12
4y = -12
y = -3

Plug in y=0 to find the x-intercept

-3x + 4(0) = -12
-3x = -12
x = 4

The x-intercept is (4,0)
The y-intercept is (0, -3)

Solve for x.

−3x+4y=−12

Add -4y to both sides.

−3x+4y+−4y=−12+−4y

−3x=−4y−12

Divide both sides by -3.

−3x/−3 = −4y−12/−3

x=4/3y+4

 solve for y.

−3x+4y=−12

Add 3x to both sides.

−3x+4y+3x=−12+3x

4y=3x−12

 Divide both sides by 4.

4y/4 = 3x−12/4

y=3/4x−3

Graphing shown below.