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

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.

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)