Final answer:
The x-intercept is (4, 0) and the y-intercept is (0, 3).
Step-by-step explanation:
To find the x-intercept of the equation y=-(3)/(4)x+3, we set y to 0 and solve for x. When y=0, the equation becomes 0=-(3)/(4)x+3. Multiplying both sides by 4, we get 0=-3x+12. Subtracting 12 from both sides, we have -12=-3x. Dividing both sides by -3, we find that x=4. Therefore, the x-intercept is (4, 0).
To find the y-intercept, we set x to 0 and solve for y. When x=0, the equation becomes y=-(3)/(4) * 0 + 3, which simplifies to y=3. Therefore, the y-intercept is (0, 3).