Topics of Alg 2
2.3 Homework
Name: ____________________________
Hr: _____
Working with Slope
1. Multiple choice: Slope can be defined as:
I. rise over run
A. I only
II. change in y over change in x
B. I and III.
III.
C. III. only
y2 − y1
x2 − x1
D. I, II, & III.
2. Find the slope of the line containing each pair of points.
b. A(−3,10) B(−5, −4)
a. A(7,5) B(2, 4)
3. A __________________ line has a slope that is undefined.
4. A __________________ line has a slope that is zero.
What is the slope of each line shown below?
5.
6.
Slope = _____
7.
Slope = _____
Slope = _____
Which line is steeper?
8. Line 1: through (3, 4) and (1, 2)
Line 2: through (3, -2) and (7, 5)
9. Line 1: through (1, 9) and (5, 3)
Line 2: through (-1, 3) and (1, -1)
10. At 8:00 A.M. you have 4 inches of snow in your backyard. At 6:00 P.M. you measure the
snow depth to be 19 inches. What is the average rate of change in the snow depth?
11. You have to read 210 pages of Tale of Two Cities for English class. It takes you 7 hours
to read. What is the average rate of change per hour in the # of pages you have read?
12. Tell whether the slope of each side of the triangle is positive, negative, zero, or undefined.
AB: ____________
AB: ____________
AB: ____________
BC: ____________
BC: ____________
BC: ____________
AC: ____________
AC: ____________
AC: ____________
13. Which line has each slope? Fill in the blanks using the graph provided.
Line ____ has a slope of –2.
Line ____ has a slope of 0.
1
Line ____ has a slope of − .
3
Line ____ has a slope of 1.
The graph below represents the distance d traveled by a vehicle in time t.
14. During what interval was the average speed the greatest?
15. During what interval was average speed least?
16. Between which two intervals did the average speed decrease?
17. Between which two intervals did the average speed increase?