Topic 7 Topics 6 & 7
Name ____________________________
Review 2 for Test
Date _________________ Period ______
1. Find the slope between the following two points: (4, 1) and (4, -2)
2. Graph the line y  4 x  3
4. Write a linear equation with a slope of 
3. Find the slope and y-intercept:
3
and y-intercept of 5.
4
5. Decide whether a line passing through the points (2, 6) and (5, 8) and the line passing through the points (1, 2)
and (-1, 5) are parallel, perpendicular, or neither. Explain why.
6. Find the x- and y- intercepts of the line 3x  5 y  9 .
7. Find the x- and y- intercepts of the line x  2 y  6 .
8. Write the equation of the line in slope-intercept form with a slope of
1
and passing through the point (-2, 5).
2
9. Write the equation of the line in slope-intercept form that passes through the points (-6, 2) and (2, -3).
10. Write the equation of the line in slope-intercept form that is perpendicular to y  
5
x  3 with a y-intercept
6
of -9.
11. Write an equation in slope-intercept form for the graph pictured.
12. Write the equation of the line in slope-intercept form that is perpendicular to y  
2
x  3 and passes
4
through the point (2, -4).
13. The production cost of blank CD disks at Whizbang Disks varies linearly with the number produced in each
production run. The equation that relates production cost to the number of disks in a production run is
C  50n  150 , where C is the cost in dollars and n is thousands of disks. Use the word bank to fill in the blanks.
The y-intercept of the graph of the production-cost equation is _____________.
The value of the y-intercept is the cost when _________ disks have been produced.
14. Whizbang Disks got a new machine that reduced the time and labor to set up for making CDs. They were able
to reduce the set-up cost to the customer by $25. Consider the old and new function rules. Which of the following
is true about the two function rules? Select all that apply.
Old: c  50n  150
New: c  50n  125
A. Their lines on a graph are parallel.
B. They have the same y-intercept.
C. They have different y-intercepts.
D. They have the same slope.
E. They have different slopes.
15. SuperKrunch candy bars include both peanuts and almonds. Today’s market prices are $5.00 per bag of
peanuts and $8.50 per bag of almonds. The budget allows $850 to buy the nuts for a batch of candy bars. The mix
of nuts varies depending on the market price of peanuts and almonds. The relationship between amount of each
kind of nut and the cost limit is 5 x  8.5 y  850 , where x is bags of peanuts and y is bags of almonds. What is the
y-intercept of the graph of this relationship?
16. In the previous problem, you found that the y-intercept of the graph of this relationship was 100. What does
the value of the y-intercept mean in the context of the problem?
A. It is the cost of the peanuts.
B. It is the number of bags of peanuts you can buy for $850 if you buy no almonds.
C. It is the cost of the almonds.
D. It is the number of bags of almonds you can buy for $850 if you buy no peanuts.
17. In the graph, you can see measured air pressure, expressed as barometric
pressure, P, at various altitudes, A. Use the word bank to fill in the statements
correctly.
Zero altitude is “sea level.” The pressure at zero altitude is __________.
The y-intercept is ____________.
Complete the equation relating A to P: P  0.001A  _______ .
18. Which of the following statements are true about the graph of the data in this table? Select all that apply.
A. The change in the y-values is 2.
B. The change in the x-values is 2.
C. The y-intercept is 0.
D. The slope is negative.
19. Find the x and y-intercepts of the equation 12 x  8 y  24 .
20.) 4 x  3 y  12
21.) y  4 x  8
Use the following information to write the equation of the line in slope-intercept form.
22.)
23.)
24.)
m
25.)
1
and passes through (5, 3)
5
26.) passes through (2, -4) and (-4, -1)