Final answer:
The slope of line AB is 2/5 (option B).
Step-by-step explanation:
The slope of a line passing through two points can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Given points A(13,-1) and B(8,-3), the values for x1, y1, x2, and y2 are:
x1 = 13, y1 = -1, x2 = 8, y2 = -3
Using the formula, we can calculate the slope:
m = (-3 - (-1)) / (8 - 13)
m = (-3 + 1) / (-5)
m = -2 / (-5)
m = 2/5
Therefore, the slope of line AB is 2/5 (option B).