Calculating and Visualizing Slope/Rate of Change

What is the slope of the line that passes through the points (5,-11) and (-9, 17)?

• -2

• 7

• 2

• -2

• -12

What is the slope of the line that passes through the points (26,7) and (-39,12)?

The slope of the line that passes through one point (2,3) is 4. What is the other point that lies on the line?

• (-6,19)

• (-6,-19)

• (6,-19)

• (6,19)

The graph shows the linear relationship between the maximum area in square feet that can be painted and the number of gallons of paint used. Which of these best represents the rate of change of the maximum area painted with respect to the number of gallons of paint used?

The table shows the linear relationship between the balance of a student's saving 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?

• 23

• 7

• 32

• 14

The graph models the linear relationship between the temperature of Earth's atmosphere and the altitude above sea level.
Which of these best represent the rate of change of the temperature with respect to altitude?

• $5.25 per mile

• $4.25 per mile

• $3.75 per mile

• $1.50 per mile

A savings account balance can be modeled by the graph of the linear function shown one the grid. What is the rate of change of the balance with respect to the number of deposits?

• $50 per deposit

• $0.50 per deposit

• $100 per deposit

• $2 per deposit

The table represents some points on the graph of a linear function. What is the slope of the line for this function?