Which intercept pair is correct for drawing the line (5x-2y=20)?

Correct answer: ((4,0)) and ((0,-10))

To find the intercepts of 5x−2y=20, use the definition of each axis. At the x-intercept, y=0, so 5x=20 and x=4; the point is (4,0). At the y-intercept, x=0, so −2y=20 and y=−10; the point is (0,−10). These two points are enough to draw the straight line.

Therefore option A gives the correct pair. The negative y-coordinate is important: because the coefficient of y is −2, solving −2y=20 produces y=−10. Options that reverse signs or interchange coordinates do not satisfy the original equation. For example, substituting (4,0) gives 20, and substituting (0,−10) also gives 20.