Final answer:
To graph the equation 3x - 4y = -12 using intercepts, find the x-intercept and the y-intercept.
Step-by-step explanation:
To graph the equation 3x - 4y = -12 using intercepts, we need to find the x-intercept (where the line crosses the x-axis) and the y-intercept (where the line crosses the y-axis).
To find the x-intercept, we set y = 0 and solve for x: 3x - 4(0) = -12. This simplifies to 3x = -12, and dividing both sides by 3 gives us x = -4. So the x-intercept is (-4, 0).
To find the y-intercept, we set x = 0 and solve for y: 3(0) - 4y = -12. This simplifies to -4y = -12, and dividing both sides by -4 gives us y = 3. So the y-intercept is (0, 3).
Plotting these intercepts on a graph and connecting them with a straight line will give us the graph of the equation 3x - 4y = -12.