Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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A straight section of an Olympic downhill ski course is 34 m long. It drops 16 m
in height. Determine the slope of this part of the course.
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2.
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Which graph has slope 1 and y-intercept 0?
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3.
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Which graph represents the equation  ?
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4.
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Write an equation in slope-point form for the line that passes through A(1, 4)
and B(6, 8).
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5.
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Jon has x egg cartons that hold 12 eggs and y egg cartons that
hold 18 eggs. He uses these cartons to store 72 eggs. Which equation represents the relation?
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6.
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Is the slope of this line segment positive, negative, zero, or not
defined?  a. | zero | c. | not defined | b. | positive | d. | negative |
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7.
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Determine the steepness of this roof by calculating its slope. 
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8.
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A road drops 0.7 m for every 4.7 m measured horizontally. What is the rise of
the road?
a. | –4.7 | c. |  | b. | –0.7 | d. |  |
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9.
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Determine the slope of the line that is perpendicular to this line
segment. 
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10.
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Determine the slope of the line that is parallel to this line segment. 
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11.
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Determine the slope of a line that is perpendicular to the line through
W(–9, 7) and X(6, –10).
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12.
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The slope of this line is  . What is the equation of the
line?  a. | y =  | c. | y =  | b. | y =  | d. | y = x 
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13.
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The slope of this line is  . What is the equation of the
line? 
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14.
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Write an equation for the graph of a linear function that has slope  and
y-intercept –3.
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15.
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For a service call, a plumber charges a $95 initial fee, plus $45 for each hour
he works. Write an equation to represent the total cost, C dollars, for t hours of
work.
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16.
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Which equations represent parallel lines?
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17.
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In which form is the equation  written? a. | Standard form | c. | General form | b. | Slope-intercept form | d. | Slope-point
form |
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18.
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Determine the x-intercept and the y-intercept for the graph of
this equation:  a. | x-intercept: 18; y-intercept: 12 | c. | x-intercept: 18;
y-intercept:  | b. | x-intercept:  ; y-intercept:  | d. | x-intercept:  ; y-intercept: 12 |
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19.
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Determine the slope of the line with this equation: 
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20.
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Merny needs a 132-ft. string of outdoor lights. She has m 12-ft. strings
and n 16-ft. strings. Write an equation for the relation.
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Short Answer
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21.
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Determine the slope of this line segment. 
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22.
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A school plans to build a wheelchair ramp from the sidewalk to the front
entrance of the school. The slope of the ramp must be  . The entrance to the school is 75 cm
above the ground. What is the horizontal distance needed for the ramp?
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23.
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The slopes of two lines are  and  . Are the two lines
parallel, perpendicular, or neither?
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24.
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The slopes of two lines are  and  . Are the two lines
parallel, perpendicular, or neither?
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25.
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Describe the graph of the linear function whose equation is  .
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Problem
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26.
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A guy wire helps to support a tower. One end of the wire is 25 m from the base
of the tower. The wire has a slope of  . How high up the tower does the wire reach?
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27.
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Four students determined the slope of the line through S(7, –5) and
T(–15, 11). Their answers were:  ,  ,  , and  . Which
answer is correct? How do you know?
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28.
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Reggie says FGHJ is a parallelogram. Ann says FGHJ is a rectangle. Who is
correct? Justify your answer. 
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29.
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Given A(18, 9), B(6, 27), and C(6, 9), determine the coordinates of point D such
that CD is parallel to AB and D is on the: i)
y-axis
ii)
x-axis
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30.
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Determine the value of k when the equations  and  represent
lines that are: a) parallel b)
perpendicular
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