Final answer:
The x-intercept is (-3, 0) and the y-intercept is (0, 4).
Step-by-step explanation:
To find the x-intercept, we set y = 0 in the equation -4x + 3y = 12 and solve for x. So, -4x + 3(0) = 12, which gives us -4x = 12. Dividing both sides by -4, we get x = -3. Therefore, the x-intercept is (-3, 0).
To find the y-intercept, we set x = 0 in the equation -4x + 3y = 12 and solve for y. So, -4(0) + 3y = 12, which gives us 3y = 12. Dividing both sides by 3, we get y = 4. Therefore, the y-intercept is (0, 4).
So, the intercepts of the equation -4x + 3y = 12 are (-3, 0) and (0, 4).
Learn more about Intercepts of a linear equation