Download Name: Slope Review WS 1. Draw a line that has a positive slope. Do

Name: _____________________
Slope Review WS
1.
Draw a line that has a positive slope. Do the y values increase or decrease as the x value
increases? _______________
2.
Draw a line that has a negative slope. Do the y values increase or decrease as the x value
increases? _______________
3.
The x value of the y-intercept is always ________.
4.
In y = mx + b , what is m? ____________ What is b? ____________
5.
Without using a calculator, complete the tables below for the given equation:
x
y
a) y = 2x + 3
-2
b) y = 12 – 4x
x
-2
y
6.
-1
0
1
2
3
4
-1
0
1
2
3
4
Identify the slope (m) and the y-intercept (b) of the line represented by each equation.
a) y = 7 - .5x
b) y = 4x + 1
c) y = -3x
m = ______
m = ______
m = ______
b = ______
b = ______
b = ______
7.
Solve for the variable. Use the symbolic method for a) through e). Show all steps and
check your answers.
x
a) x + 5 = 11
b) x + -1 = -20
c)
= 11
7
d) 5x + 3 = 38
e)
x
- 4 = 10
5
f) y = .5(-2) + 4
8.
Write an equation for the line that satisfies the given conditions:
a) Slope is 5 and y-intercept is –3 ____________________
1
b) Slope is
and y-intercept is 2.5 ____________________
3
c) Slope is 0 and y-intercept is 3
____________________
9.
Find the slope of the line on which these coordinate pairs lie. Show your work.
10.
a) (2,5) and (10,1)
slope=_____
b) (-5,8) and (-4,2)
slope=_____
Find the slope and y-intercept of each of the lines below.
slope=
y-intercept=
slope=
y-intercept=
11.
Erik and Kayla are planning a snowboarding trip to Stevens Pass. Ride the Waves (RTW)
company charges a flat fee of $80 plus $10 per person. The Abominable Snowman (TAS)
company charges only $15 per person.
a) For each company, write an equation for the relationship between the number of
people (x) and the cost (y).
RTW___________________
TAS___________________
b) Find the y-intercept and slope for each company’s equation.
Explain what the y-intercept and slope tell about the cost for each company.
RTW: slope=_____ y-intercept=_____
TAS: slope=_____ y-intercept=_____
c) Graph the two equations using two different colors. Make a key to indicate which
equation goes with each graph.
d) The two teens planned a trip for 20 total people to go snowboarding. Which company
provides the best deal? Explain your answer. Show all work. (4pts)
12.
Identify which point is a solution to each of the following equations. SHOW WORK to
prove your answer.
i. y = -2x –10
ii. y =
1
x–2
2
iii. y = 3 – 4x
a) (10,3) ____________________
b) (-3,15) ____________________
c) (-5,0) ____________________
13.
Nicole likes to go to the mall to play video games. Round trip bus fare is $2.00. She
spends 50¢ for each video game.
a) Write an equation for the amount of money (m) it costs Nicole to go to the mall and play
any number of video games (v).
b) Fill in the table below showing how much it will cost Nicole to play 0 to 10 video
games.
c) Explain how to find the slope of the line using the table above. Be specific in your
explanation.