In which choice are all four points on the same straight line? A. (-4, 4), (-2, -2), (2, -1), (3, -2) B. (–3, –6), (–2, –3), (0, –4), (3, –4) C. (2, 1), (0, 0), (–1, 1), (–2, –3) D. (–7, –3), (–4, 0), (0, 4), (3, 7)

The points are on the same straight line if the slope between any two points is the same. The slope between two points (x1, y1) and (x2, y2) is given by (y2 - y1) / (x2 - x1).

Let's calculate the slopes for each choice:

A. (-4, 4), (-2, -2), (2, -1), (3, -2) Slope between first two points = (-2 - 4) / (-2 - (-4)) = -6 / 2 = -3 Slope between second and third points = (-1 - (-2)) / (2 - (-2)) = 1 / 4 = 0.25 The slopes are not the same, so the points are not on the same line.

B. (–3, –6), (–2, –3), (0, –4), (3, –4) Slope between first two points = (-3 - (-6)) / (-2 - (-3)) = 3 / 1 = 3 Slope between second and third points = (-4 - (-3)) / (0 - (-2)) = -1 / 2 = -0.5 The slopes are not the same, so the points are not on the same line.

C. (2, 1), (0, 0), (–1, 1), (–2, –3) Slope between first two points = (0 - 1) / (0 - 2) = -1 / -2 = 0.5 Slope between second and third points = (1 - 0) / (-1 - 0) = 1 / -1 = -1 The slopes are not the same, so the points are not on the same line.

D. (–7, –3), (–4, 0), (0, 4), (3, 7) Slope between first two points = (0 - (-3)) / (-4 - (-7)) = 3 / 3 = 1 Slope between second and third points = (4 - 0) / (0 - (-4)) = 4 / 4 = 1 The slopes are the same, so the points are on the same line.

So, the answer is D. (–7, –3), (–4, 0), (0, 4), (3, 7) are all on the same straight line.