Use the table to answer the question.

x y
2.6 −6
3.2 3
Determine the rate of change of the linear function given as a table of values.

(1 point)
Responses

m=15
m equals 15

m=−5
m equals negative 5

m=0.067
m equals 0.067

m=−15

1 answer

The rate of change, or slope (m), is the change in y divided by the change in x.

m = (change in y) / (change in x)

From x = 2.6 to x = 3.2, y changes from -6 to 3.

Change in y = 3 - (-6) = 3 + 6 = 9
Change in x = 3.2 - 2.6 = 0.6

So, m = 9 / 0.6 = 15

Therefore, the rate of change or slope of the function is m = 15.
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