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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A line passes through J(–10, 10) and K(7, –9). Determine the
coordinates of L so that line JL is perpendicular to line JK.
a. | L(27, 9) | c. | L(17, –19) | b. | L(–19, 17) | d. | L(9, 27) |
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3.
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A line passes through D(–5, 3) and N(12, –4). Determine the
coordinates of two points on a line parallel to DN.
a. | (6, –10) and (24, –8) | c. | (–10, 6) and (24,
–8) | b. | (–10, 24) and (6, –8) | d. | (–10, 6) and (–8,
24) |
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4.
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A line passes through R(8, 1) and F(–5, –4). Determine the
coordinates of two points on a line perpendicular to RF.
a. | (16, –11) and (21, 2) | c. | (16, 2) and (21,
–11) | b. | (2, 16) and (21, –11) | d. | (16, 2) and (–11, 21) |
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5.
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Which graph represents the equation  ?
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6.
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Determine the slope of the line that passes through G(3, –3) and
H(–5, 9).
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7.
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Determine the slope of this line segment. 
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8.
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Is the slope of this line segment positive, negative, zero, or not
defined?  a. | positive | c. | zero | b. | negative | d. | not defined |
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9.
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Determine the steepness of this roof by calculating its slope. 
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10.
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A line has x-intercept 2 and y-intercept 6? Determine the slope of
the line.
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11.
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Determine the slope of the line that is parallel to this line segment. 
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12.
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The slope of a line is  . What is the slope of a line that is
perpendicular to this line?
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13.
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Write an equation to describe this graph. 
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14.
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Use the equation  to calculate the value of y when  .
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15.
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Which equations represent parallel lines?
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16.
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Describe the graph of the linear function with this equation:  a. | The graph is a line through (–2, 3) with slope  . | b. | The graph is a line
through (2,  ) with slope  . | c. | The graph is a line
through (2,  ) with slope  . | d. | The graph is a line
through (–2, 3) with slope  . |
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17.
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Write an equation for the graph of a linear function that has slope  and
passes through S(–4, 5).
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18.
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Determine the y-intercept of the graph of this equation:  a. |  | c. |  | b. | 13 | d. | 3 |
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19.
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Determine the slope of the line with this equation:  a. | –4 | c. |  | b. |  | d. | 4 |
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20.
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Write this equation in slope-intercept form: 
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Short Answer
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21.
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The coordinates of the endpoints of segments are given below. Are the two line
segments parallel, perpendicular, or neither?
a) R(–2, 8),
S(–12, –4) and T(3, –1), U(9, 4)
b) F(–7,
–8), G(–4, 1) and V(–4, 10), W(14, 4)
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22.
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A line has x-intercept –8 and y-intercept 5. Determine the
slope of a line perpendicular to this line.
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23.
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Describe the graph of the linear function whose equation is  .
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24.
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For each equation, identify the slope and y-intercept of its graph. i)
 ii)  iii) 
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25.
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Write this equation in general form: 
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Problem
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26.
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For the equation  : a)
Explain how to change the equation so the line has a greater slope,
then a lesser slope.
b) Explain how to change the equation so the
line has a greater y-intercept, then a lesser y-intercept.
c)
Rewrite the equation so the new line has a y-intercept that is
one less than the given y-intercept, and a slope that is one more than the given
slope.
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27.
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A student said that the equation of this graph is  . a)
What mistakes did the student make? b)
What is the equation of the graph?
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28.
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Identify the graph below that corresponds to each given slope and
y-intercept. a) slope  ; y-intercept
0 b) slope  ; y-intercept  c)
slope 4; y-intercept 0 d)
slope  ; y-intercept 0 Graph A
 | Graph B
 | Graph C
 | Graph D
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29.
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Determine the slope of a line that is perpendicular to the line with this
equation: 
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30.
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Graph this equation:  Describe the strategies you
used. 
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