See explanation below
Step-by-step explanation:
The equation: 4x + 3y = -12
To plot the graph using the intercept, we need to find the y and x intercept
To get the y intercept, we replace x with 0
4(0) + 3y = -12
0 + 3y = -12
3y = -12
divide both sides by 3:
3y/3 = -12/3
y = -4
To get the x intercept, we will replace y with 0
4x + 3(0) = -12
4x + 0 = -12
4x = -12
divide both sides by 4:
4x/4 = -12/4
x = -3
Plotting the x and y intercept on the graph: