# RATE OF CHANGE AND SLOPE HOMEWORK

Problem 1 :

Find the slope of the line that passes through (-1, -8) and (3, 2).

Problem 2 :

Find the slope of the line shown below.

Problem 3 :

What is the rate of change shown in the graph of the line above?

Problem 4 :

What is the average rate of change for the relation shown in the table above?

Problem 5 :

A line passes through the points (4, 3) and (-5, k). If the line has a slope of -1, find the value of k.

Problem 6 :

If the line that passes through (a, 7) and (1, a) has a slope of -⁵⁄₉, what is the value of a?

Problem 7 :

The graph of the linear function f passes through the points (a, 1) and (1, b) in the xy-plane. If the slope of the graph of f is 1, which of the following is true?

(A)  a - b = 1

(B)  a + b = 1

(C)  a - b = 2

(D)  a + b = 2

Problem 8 :

The table above shows Abraham’s height from age 12 to 18. Find the average rate of change in Abraham’s height from age 12 to 18.

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