Final answer:
The slope of the line that passes through the points (-3,13) and (5,-7) is calculated using the formula m = (y2 - y1) / (x2 - x1), which results in -5/2.
Step-by-step explanation:
To find the slope of the line that passes through the points (-3,13) and (5,-7), we use the slope formula which is:
m = (y2 - y1) / (x2 - x1)
Let's plug in the values from our points:
m = (-7 - 13) / (5 - (-3))
m = (-20) / (8)
m = -20/8 which simplifies to -5/2.
Therefore, the correct answer is C. -5/2.