Final answer:
The correct answer is option c. The slope of the line passing through the points (-3, 1) and (1, -5) is -3/2.
Step-by-step explanation:
To find the slope of the line passing through the points (-3, 1) and (1, -5), we can use the formula: slope = (change in y) / (change in x).
Let's calculate the change in y first. The y-coordinate of the second point (-5) minus the y-coordinate of the first point (1) gives us -5 - 1 = -6.
Next, let's calculate the change in x. The x-coordinate of the second point (1) minus the x-coordinate of the first point (-3) gives us 1 - (-3) = 4.
Finally, we can calculate the slope by dividing the change in y (-6) by the change in x (4). This gives us a slope of -6/4 = -3/2.
Therefore, the slope of the line that passes through the points (-3, 1) and (1, -5) is -3/2.