Final answer:
The x-intercept is (5, 0) and the y-intercept is (0, -15/7).
Step-by-step explanation:
To find the x-intercept, we need to set the value of y to zero and solve for x. In the equation 3x - 7y = 15, when y=0, we have 3x - 7(0) = 15, which simplifies to 3x = 15. Dividing both sides by 3, we find x = 5. So the x-intercept is (5, 0).
To find the y-intercept, we need to set the value of x to zero and solve for y. In the equation 3x - 7y = 15, when x=0, we have 3(0) - 7y = 15, which simplifies to -7y = 15. Dividing both sides by -7, we find y = -15/7. So the y-intercept is (0, -15/7).
Learn more about Intercepts in linear equations