Final answer:
The slope of the line passing through the points (3,8) and (-2,13) is -1.
Step-by-step explanation:
To find the slope of a line passing through two points, we can use the formula:
slope = (y2 - y1) / (x2 - x1)
Let's substitute the coordinates of the given points (3,8) and (-2,13) into the formula:
slope = (13 - 8) / (-2 - 3)
Simplifying, we get:
slope = 5 / -5
Finally, we can simplify the fraction:
slope = -1