Final answer:
The slope of the line passing through the points (-2,1) and (1,10) is 3.
Step-by-step explanation:
The slope (rate of change) of a line can be found using the formula:
slope = (change in y)/(change in x)
Using the coordinates of the given points:
Point 1: (-2,1)
Point 2: (1,10)
We can calculate the change in y and change in x:
change in y = 10 - 1 = 9
change in x = 1 - (-2) = 3
Substituting these values into the slope formula:
slope = 9/3 = 3
Therefore, the slope of the line passing through the points (-2,1) and (1,10) is 3.