Final answer:
To find the intercepts of the line 7x - 3y = 15, set y to 0 to find the x-intercept (15/7, 0), and set x to 0 to find the y-intercept (0, -5). Hence, the correct answer is B. (0, -5) and (15/7, 0).
Step-by-step explanation:
Finding the x-intercept and y-intercept
To find the x-intercept of the line 7x - 3y = 15, set y = 0 and solve for x. This gives us x = 15/7. Therefore, the x-intercept is (15/7, 0).
To find the y-intercept, set x = 0 and solve for y. This gives us y = -5. Consequently, the y-intercept is (0, -5).
The correct answer is (15/7, 0) for the x-intercept and (0, -5) for the y-intercept. So, option B. (0, -5) and (15/7, 0) is the correct answer.