Moving Straight Ahead Review/Study Guide
1. List all terms that mean slope.
2. In the equation y = mx + b, m stands for the ______and b stands for the ______.
3. If the slope is ______the line slants upward.
4. The slope of a horizontal line is ______.
5. If the slope is ______the line slants downward.
6. Identify the slope and y-intercept of the equation: .
Slope ______y-intercept ______
7. Which direction does the line represented by the above equation slant?
8. Explain how to find the slope of a line from a graph.
From a table.
From an equation.
9. Does it make a difference what two points you choose on a straight line to find the slope of the line? Explain your answer.
10. a. This table shows two points that are on the same straight line. Complete the table to show three other points on the same line.
b.Find the slope and the y-intercept of this line that represents the data.
Slope ______y-intercept ______
11. Given one of the representations below, find the other two.
Table /Graph /
Equation / y = x + 1
a.Find the y-intercept for each representation above.
b.Find the slope for each representation above.
12. The formula relating n (the number of cricket chirps per minute) to t (the temperature in degrees Fahrenheit) is .
a.Using a symbolic method, find how many times a cricket would chirp in a minute at 90º F.
b.It is evening, and a cricket is chirping 48 times per minute. Use a symbolic method to find the temperature.
13. Graph the equation y = 5x + 7 on your calculator. Use the graph to find the missing coordinates for these points on the graph: (2, ?), (?, 52), and (2.9, ?).
14. Write the equation for the line below.
15. Here is a graph of three lines.
a.Complete the chart.
line / Slope / y-intercept / x-interceptA
B
C
b.Here are the equations of the three lines. Match each line with its equation.
,,
line A: ______, line B: ______, line C: ______
16. The equations below represent the distances in meters traveled after t seconds by three cyclists. For which equation does the point (10, 74) lie on the graph? Explain.
i.D = 2.4t + 32ii.D = 4.2t + 32iii.D = 6t + 32
17. On Saturdays, Jim likes to go to the mall to play video games or pinball. Round-trip bus fare to and from the mall is $1.80. Jim spends $0.50 for each video or pinball game.
a.Write an equation for the amount of money, M, it costs Jim to go to the mall and play n video or pinball games. Explain your reasoning.
b.What is the slope of the line your equation represents? What does the slope tell you about this situation?
c.What is the y-intercept of the line? What does the y-intercept tell you about the situation?
d.How much will it cost Jim to travel to the mall and play 8 video or pinball games?
18. At Midtown Bowling Center, the cost to bowl four games is $8.40, and the cost to rent shoes is $1.15.
a.Write an equation for the cost, C, for renting shoes and bowling n games.
b.What is the y-intercept for your equation, and what does it represent?
c.What is the slope of your equation, and what does the slope represent?
19. These two points determine a line: (0, 3) and (2, 5). Which of these points is also on that line?
(4, 7)(4, 8)(4, 10)
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