24-25 AR Topic 4

• -19

• 12

A line contains the points (-2, -2) and (4, 2). 

 What is the slope of the line?

Mathematical Equivalence

OFF

The table shows a linear relationship between x and y.

What is the rate of change of y with respect to x?

What is the slope of the line that passes through the points (−2, 15) and (4, −21)?

​ (a)  

• -6
• 6

The values in the table represent a linear relationship between x and y.

What is the rate of change of y with respect to x?

• 10

• 17

• -10

• -17

The table shows the linear relationship between the balance of a student’s savings account and the number of weeks he has been saving.

Based on the table, what was the rate of change of the balance of the student’s savings account in dollars and cents per week?

Mathematical Equivalence

ON

The graph of a linear function is shown on the grid.

What is the rate of change of y with respect to x for this function?

Mathematical Equivalence

ON

The graph of a linear function is shown on the grid.

What is the rate of change of y with respect to x for this function?

A construction worker built steps up to a home.  The table shows the linear relationship between the height off the ground in inches and the number of steps.

What is the rate of change of height off the ground with respect to the number of steps?

• 14 in. per step

• 7 in. per step