SOLUTION: A graph with the following table: find its average rate of change from x=-1 to x=3 x y -5, 6 -3, 0 -1, -2 1, 0 3, 6 Thank you!

Question 1066373: A graph with the following table: find its average rate of change from x=-1 to x=3
x y
-5, 6
-3, 0
-1, -2
1, 0
3, 6
Thank you!

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Look at the x column and find -1 in that column. The value right next to -1 is -2. The -2 is in the y column

That row means x = -1 and y = -2 pair up together to form the point (-1,-2)

Similarly, another point drawn from the table is (3,6) which is the last row of the table.

-------------------------------------------------------------
Use the slope formula to find the slope of the line through the points (-1,-2) and (3,6)

In this case,
(x1,y1) = (-1,-2)
x1 = -1
y1 = -2
and
(x2,y2) = (3,6)
x2 = 3
y2 = 6

Plugging those values into the formula gives

The slope is 2, which means the average rate of change from x = -1 to x = 3 is 2.

The final answer is 2
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