Question

Find the x and y intercepts of the

following linear equation:
-3x + 4y = 12
x-intercept ([?],
y - intercept (1

Answer 1

The x-intercept of the equation -3x + 4y = 12 is (-4, 0) and the y-intercept is (0, 3).

Step-by-step explanation:

To find the x-intercept, we set y = 0 in the equation -3x + 4y = 12. Substituting y = 0, we get -3x + 4(0) = 12, which simplifies to -3x = 12. Dividing both sides by -3, we get x = -4. Therefore, the x-intercept is (-4, 0).

To find the y-intercept, we set x = 0 in the equation -3x + 4y = 12. Substituting x = 0, we get -3(0) + 4y = 12, which simplifies to 4y = 12. Dividing both sides by 4, we get y = 3. Therefore, the y-intercept is (0, 3).

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