Name__________________________
# 9 Slope and Rate of Change
Find the slope of the line using the characteristics given—equation of the line, two
points on the line, or graph of the line.
1. (5, 2) and (4, -1)
4.
13.
2. (-2, 3) and (4, 6)
5.
9
1
3. (2, 5) and (2, -3)
1
6.
y = - 4x – 3
2x + y = 3
7. (0, 4) and (-3, 4)
8. y = -2x + 3
9.
10. 2x – 5y = -10
11. (5, 2) and (5, -2)
12. -8x – 2y =32
14.
15. (-3, 1) and (4, 1)
Name__________________________
Find the rate of change for each situation using the information given—data table or
written explanation. (FYI - slope is rate of change,
16.
Prices at Internet Café
Time
Cost
(hours)
(dollars)
2
7
4
14
6
21
17.
Walking
𝒅𝒊𝒇𝒇𝒆𝒓𝒆𝒏𝒄𝒆 𝒊𝒏 𝒚
𝒅𝒊𝒇𝒇𝒆𝒓𝒆𝒏𝒄𝒆 𝒊𝒏 𝒙
Time
(minutes)
Distance
(miles)
)
30
60
90
1.5
3
4.5
18.
A particular Broadway production was not very popular on the opening weekend, but every two weeks
attendance increased by approximately 400 theater-goers. What is the weekly rate of change?
19.
Calories burned by playing a basketball
game per weight of individual
Weight (lbs)
160 200 240
Calories burned
584 728 872
20.
The outside temperature at 3pm on Thursday was 52°F. At 3am on Friday the outside temperature was
34°F. Assuming a constant rate of change, what is the hourly rate of change?