1. 2.2: Slope and Rate of Change
Grade Distribution A B C D F
No Shows
Range
Avg.
100+
2.2: Slope and Rate of Change
12/6/2018 5:37 AM

2. 2.2: Slope and Rate of Change
Page 86 3)
m = 3/2; rises 5)
m = –5/3; falls 7)
m = –4; falls 9)
m = 7/4; rises
11)
m = undefined; vertical
13)
m = 0; horizontal
15)
Subtracted incorrectly.
17) A
29) 2
31)
1/6
33)
–3/2
2.2: Slope and Rate of Change
12/6/2018 5:37 AM

3. 2.2: Slope and Rate of Change
12/6/2018 5:37 AM

4. Parallel and Perpendicular Slopes; Average Rate of Change
Section 2.2
2.2: Slope and Rate of Change
12/6/2018 5:37 AM

5. 2.2: Slope and Rate of Change
To Determine Slopes
Determine line 1 and line 2 of the slopes
Compare the slopes and determine whether is parallel, perpendicular, or neither slopes
Parallel Slopes: SAME SLOPE
Perpendicular Slopes: OPPOSITE SIGN RECIPROCAL SLOPE
Neither Slopes: Does not fit either Parallel or Perpendicular
PARALLEL Slopes
PERPENDICULAR Slopes
PARA||EL
PERPEND CULAR
2.2: Slope and Rate of Change
12/6/2018 5:37 AM

6. 2.2: Slope and Rate of Change
Example 1
Line 1 contains points of (4, –1) and (7, –2)
Line 2 contains points of (–2, 1) and (1, 0)
Is it parallel, perpendicular, or neither?
Parallel
2.2: Slope and Rate of Change
12/6/2018 5:37 AM

7. 2.2: Slope and Rate of Change
Example 2
Line 1 contains points of (1, 4) and (2, 7)
Line 2 contains points of (1, 0) and (–2, 1)
Is it parallel, perpendicular, or neither?
Perpendicular
2.2: Slope and Rate of Change
12/6/2018 5:37 AM

8. 2.2: Slope and Rate of Change
Your Turn
Line 1 contains points of (–4, –8) and (0, –6)
Line 2 contains points of (0, 2) and (1, 4)
Is it parallel, perpendicular, or neither?
Neither
2.2: Slope and Rate of Change
12/6/2018 5:37 AM

9. 2.2: Slope and Rate of Change
Average Rate of Change
Rate of Change is defined as how much one quantity changes, on average, relative to the change in another quantity.
Distinguish the independent and dependent variable; “Y depends on X”
Apply the Slope Equation
Label Appropriately
2.2: Slope and Rate of Change
12/6/2018 5:37 AM

10. 2.2: Slope and Rate of Change
Example 3
X is measured in gallons and y is measured in miles with points of (0, 11) and (3, 50).
2.2: Slope and Rate of Change
12/6/2018 5:37 AM

11. 2.2: Slope and Rate of Change
Example 4
The average rate of change in the diameter of the sequoia in was 137 inches. In 2005, the diameter measured 141 inches. Determine the rate of change and predict the sequoia’s diameter in 2065.
2.2: Slope and Rate of Change
12/6/2018 5:37 AM

12. 2.2: Slope and Rate of Change
Example 4
The average rate of change in the diameter of the sequoia in was 137 inches. In 2005, the diameter measured 141 inches. Determine the rate of change and predict the sequoia’s diameter in 2065.
2.2: Slope and Rate of Change
12/6/2018 5:37 AM

13. 2.2: Slope and Rate of Change
Your Turn
Over a 30 day period, the amount of propane in a take that stores propane for heating a home decreases from 400 gallons to 214 gallons. What is the average rate of change? How many more days (after the 30 day period) of heating can the propane have before it needs a refill?
2.2: Slope and Rate of Change
12/6/2018 5:37 AM

14. 2.2: Slope and Rate of Change
Assignment
Page 86
18-27 all, odd, 46
2.2: Slope and Rate of Change
12/6/2018 5:37 AM