Write an equation that passes through each point
with the given slope.
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1. |
(-5,
4) and 
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2. |
(4,
3) and 
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Find the slope of the line that passes through the pair of
points.
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3. |
(2,
–3), (–5, 1)
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4. |
(–3, –2), (5, 4)
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Write an equation of the line with the given slope and
y-intercept
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5. |
slope: 0.8, y-intercept: 10
a. | y = –0.8x +
10 | c. | y =
0.8x + 10 | b. | y = 0.8x –
10 | d. | y =  x + 10 | |
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6. |
slope:  , y-intercept: –3
a. | y =  x – 3 | c. | y =  x +
3 | b. | y =  x – 3 | d. | y =  x
– 3 | |
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7. |
What
is the slope of the line that passes through (a, b) and (–a,
b).
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8. |
What
is the slope of the following equation: 
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9. |
What
is the slope of the following equation: 
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10. |
What
is the y-intercept of the following equation: 
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11. |
A
conveyor belt runs between floors of a building as pictured below. Find the slope of the belt as a
positive number.
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Write the equation in slope-intercept form.
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12. |
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13. |
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14. |
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Write an equation of the line that passes through the pair of
points.
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15. |
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16. |
a. | y = –8x + 22 | c. | y =  x
–  | b. | y =
–8x +  | d. | y = –8x –  | |
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Determine whether the graph shows a positive correlation, a negative correlation,
or no correlation. If there is a positive or negative correlation, describe its meaning in the
situation.
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17. |
Women in the
Army | |
Year | Source: Time
Magazine, March 24, 2003 | |
a. | positive; as time goes on, more women are in the
army. | b. | no correlation | c. | negative; as
time goes on, fewer women are in the army. | d. | negative; as time goes on, more women are in the
army. | |
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18. |
a. | no correlation | b. | negative; as
time passes, speed decreases | c. | positive; as time passes, speed
increases | d. | positive; as time passes, speed
decreases | |
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19. |
a. | negative; as the number of videos rented increases, the amount
of fine increases. | b. | negative; as the number of videos rented increases, the amount
of fine decreases. | c. | no correlation | d. | positive; as the
number of videos rented increases, the amount of fine decreases. | |
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20. |
People
Entering Amusement Park | | Time (minutes) | |
a. | positive; as time passes, the number of people entering
decreases. | b. | negative; as time passes, the number of people entering
decreases. | c. | no correlation | d. | positive; as
time passes, the number of people entering increases. | |
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21. |
Strawberries
Picked | | Time
(hours) | |
a. | positive; as
time passes, the number of quarts picked decreases. | b. | negative; as
time passes, the number of quarts picked decreases. | c. | no
correlation | d. | positive; as time passes, the number of quarts picked
increases. | |
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22. |
| | United States Birth Rate (per 1000) |
| | | | Year | | | Source:
National Center for Health Statistics, U.S. Dept. of Health and Human
Services | |
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a. | no
correlation | b. | positive correlation; as time passes, the birth rate
increases. | c. | positive correlation; as time passes, the birth rate
decreases. | d. | negative correlation; as time passes, the birth rate
decreases. | |
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23. |
| | Consumer Price Index, 1950-2002 |
| | | | Year | | | Source: Bureau
of Labor Statistics, U.S. Dept. of Labor | |
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a. | no correlation | b. | positive
correlation; as time passes, the CPI increases. | c. | positive
correlation; as time passes, the CPI decreases. | d. | negative
correlation; as time passes, the CPI decreases. | |
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24. |
a. | negative; as time passes, the number of cars
increases. | b. | negative; as time passes, the number of cars
decreases. | c. | no correlation | d. | positive; as
time passes , the number of cars decreases. | |
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25. |
Use
the scatter plot that shows the number of quarts of strawberries picked each hour. Use the points (1,
73) and (8, 41) to write the slope-intercept form of an equation for the line of fit shown in the
scatter plot.
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26. |
Use
the scatter plot that shows the number of quarts of strawberries picked each hour. Predict the number
of quarts that will be picked in the tenth hour.
a. | about 123 quarts | c. | about 32 quarts | b. | about 45
quarts | d. | about 20
quarts | |
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27. |
Use
the scatter plot that shows the average cycling speed as time passes. Use the points (5, 15) and (25,
10) to write the slope-intercept form of an equation for the line of fit shown in the scatter
plot.
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28. |
Use
the scatter plot that shows the average cycling speed as time passes. Predict the speed of the
cyclist after 30 minutes.
a. | about 6.2 miles per hour | c. | about 12.3 miles per hour | b. | about 8.8 miles
per hour | d. | about 10.5 miles
per hour | |
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Graph each function.
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29. |
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30. |
y = –2x – 3
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Graph each equation using the slope and the y-intercept.
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31. |
y =  x +
2
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Monica teaches a typing class at North Fairmont High School. The table shows the
average number of mistakes per page made by students who have practiced different amounts of
time.
Student | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | Hours of
Practice | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 | Mistakes per
Page | 15 | 12 | 14 | 11 | 8 | 5 | 6 | 4 | 4 | 2 | |
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Table
11-A
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32. |
Draw
a scatter plot for the data in Table 11-A. Then draw a best-fit line.
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