Download 2.2 Worksheet

Algebra 2
2.2 Worksheet
Name__________________________________
# 1-3): Find the slope of the line passing through the points. Then tell whether the line rises, falls, is horizontal, or is vertical.
1) (–5, –4) and (–1, 3)
2) (4, 3) and (4, 9)
3) (0, –3) and (4, –3)
# 4-6): Tell whether the lines are parallel, perpendicular, or neither.
4) Line 1: (1, 5) and (3, –2)
Line2: (–3, 2) and (4, 0)
5) Line 1: (5, 8) and (7, 2)
Line 2: (–7, –2) and (–4, –1)
6) Line 1: (1, –4) and (4, –2)
Line 2: (8, 1) and (14, 5)
#7, 8): Find the value of k so that the line through the given points has the given slope. Check your solution.
7) (-12, 3) and (-7, k); m =
9
8
Algebra 2
8) (-3, k) and (2k, 2); m =
2.2 Worksheet
2
7
Name__________________________________
# 1-3): Find the slope of the line passing through the points. Then tell whether the line rises, falls, is horizontal, or is vertical.
5) (–5, –4) and (–1, 3)
6) (4, 3) and (4, 9)
7) (0, –3) and (4, –3)
# 4-6): Tell whether the lines are parallel, perpendicular, or neither.
8) Line 1: (1, 5) and (3, –2)
Line2: (–3, 2) and (4, 0)
5) Line 1: (5, 8) and (7, 2)
Line 2: (–7, –2) and (–4, –1)
6) Line 1: (1, –4) and (4, –2)
Line 2: (8, 1) and (14, 5)
#7, 8): Find the value of k so that the line through the given points has the given slope. Check your solution.
7) (-12, 3) and (-7, k); m =
9
8
8) (-3, k) and (2k, 2); m =
2
7
#9, 10): Find the average rate of change in y relative to x for the ordered pairs. Include units in your answer.
9) (10, 25) and (13, 34) x is measured in seconds
and y is measured in feet
10) (4, 102) and (6, 176) x is measured in servings
and y is measured in calories
#11) The table shows the number of hours worked and the corresponding pay in dollars.
Find the average rate of change in pay from 2 to 8 hours.
(Include units in your answer.)
Hours worked
1
2
3
5
8
Pay (dollars)
7.50
15
22.50
37.50
60
#12) Multiple Choice: Over a 30 day period, the amount of propane in a tank that stores propane for heating a home
decreases from 400 gallons to 214 gallons. What is the average rate of change in the amount of propane?
(Show work)
A)
B)
C)
D)
–6.2 gallons per day
–0.16 gallon per day
–6 gallons per day
6.2 gallons per day
#9, 10): Find the average rate of change in y relative to x for the ordered pairs. Include units in your answer.
9) (10, 25) and (13, 34) x is measured in seconds
and y is measured in feet
10) (4, 102) and (6, 176) x is measured in servings
and y is measured in calories
#11) The table shows the number of hours worked and the corresponding pay in dollars.
Find the average rate of change in pay from 2 to 8 hours.
(Include units in your answer.)
Hours worked
1
2
3
5
8
Pay (dollars)
7.50
15
22.50
37.50
60
#12) Multiple Choice: Over a 30 day period, the amount of propane in a tank that stores propane for heating a home
decreases from 400 gallons to 214 gallons. What is the average rate of change in the amount of propane?
(Show work)
A)
B)
C)
D)
–6.2 gallons per day
–0.16 gallon per day
–6 gallons per day
6.2 gallons per day