A line is graphed on a coordinate grid through points with coordinates negative 2 comma 4 and coordinates 2 comma 1.

A. start fraction 3 over 2 end fraction
B. 1
C. –1
D. –start fraction 3 over 2 end fraction

To find the slope of the line passing through the points (-2, 4) and (2, 1), we use the slope formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (-2, 4) and (x2, y2) = (2, 1)

slope = (1 - 4) / (2 - (-2)) = -3/4

Therefore, the answer is (D) –3/4.