Final answer:
The slope of the line passing through the points (-2, 4) and (3, -2) is -6/5.
Step-by-step explanation:
To find the slope of a line, we use the formula:
slope = (y2 - y1) / (x2 - x1)
Given the points (-2, 4) and (3, -2), we can substitute the coordinates into the formula:
slope = (-2 - 4) / (3 - (-2))
= -6 / 5
So, the slope of the line passing through the given points is -6/5. Therefore, the correct answer is D. -6/5.