Moving Straight Ahead Part I Unit Review In 1 – 6, write the equation of the line with the given slope and y-intercept. 1) slope = 2, y-intercept = 0.25
2) slope = -1, y-intercept = 5
3) slope = 1, y-intercept = -3
4) slope = -2, y-intercept = 0
5) slope = ½, y-intercept =
7)
6) slope = 3, y-intercept = 1
What are the slope and y-intercept of the line whose equation is… 3
𝑦 = − 4𝑥 − 2 ?
Slope = _________
y-intercept = __________
𝑦 = 9𝑥 + 5 ?
Slope = _________
y-intercept = __________
Slope = _________
y-intercept = __________
Slope = _________
y-intercept = __________
𝑦 =
2 5
−𝑥 ?
𝑦 = 4𝑥 ?
8)
3 4
Write an equation for each table and decide if the table represents a proportional relationship or not.
x 0 1 2 3 4 5
A y 100 105 110 115 120 125
B x 0 1 2 3 4 5
C y
0 5 10 15 20 25
x 0 1 2 3 4 5
y 10 30 50 70 90 110
Name_______________________
Color_____________
Date____________
Find the slope and y-intercept from each table. Then write an equation. 9)
Calculate the slope of the line passing through (-5, 10) and (8, 14). Show all work.
Name_______________________
Color_____________
Date____________
Match the equation to the graph. Tell whether the relationship is increasing (I) or decreasing (D). 13)
𝑦 = −𝑥
Graph: _________________
I or D? ____________
14)
𝑦 = 2/3𝑥
Graph: _________________
I or D? ____________
15)
𝑦 = 4−𝑥
Graph: _________________
I or D? ____________
16)
𝑦 = −3/4𝑥 – 6
Graph: _________________
I or D? ____________
17)
𝑦 = 3𝑥 – 2
Graph: _________________
I or D? ____________
10
C
D 8
B
6
E 4
2
A -10
-5
5
-2
-4
-6
-8
-10
10
Name_______________________
Color_____________
Date____________
y
18) Find the slope of the line.
x
19) Find the slope of the line.
y
x
20) Find the slope of the line.
y
x
Name_______________________
Color_____________
Date____________
21) To encourage new customers, a new movie theater is offering different ways to pay for a movie.
Members: $75 a year plus $2 per movie
Nonmembers: $5.75 to see a movie
a. Make one table that shows the number of movies 𝑛 and the cost for members 𝐶1 . Make
another table that shows the number of movies 𝑛 and the cost for nonmembers 𝐶2 . For both tables, include values of n from 0 to 50 movies, in increments of 10.
b. One the same set of axes, graph the relationship between cost and number of movies for
members and for nonmembers.
c. Write equations that you can use to calculate the cost for members 𝐶1 and nonmembers 𝐶2
for any number of movies 𝑛.
Equation for members: ______________________________________ Equation for nonmembers: ______________________________________ d. For what number of movies will the cost be the same for both members and nonmembers?
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