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Find the slope (rate of change ) of the line that passes through (-2,1) and (1,10).

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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.

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