Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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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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2.
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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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3.
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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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4.
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Which equation is written in general form?
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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 this line segment. 
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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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Is the slope of this line segment positive, negative, zero, or not
defined?  a. | positive | c. | not defined | b. | negative | d. | zero |
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10.
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The slope of a line is  . What is the slope of a line that is
parallel to this line?
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11.
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Determine the slope of a line that is parallel to the line through L(–6,
3) and K(12, –9).
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12.
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A line has x-intercept 4 and y-intercept –5. Determine the
slope of a line perpendicular to this line.
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13.
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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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14.
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Write an equation to describe this graph. 
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15.
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Determine the slope and y-intercept of the graph of this equation:  a. | slope:  ; y-intercept: 9 | c. | slope:  ; y-intercept:
2 | b. | slope: 9; y-intercept:  | d. | slope:  ; y-intercept:
3 |
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16.
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Write this equation in slope-intercept form: 
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17.
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Determine the y-intercept of the graph of this equation:  a. | 3 | c. | 23 | b. |  | d. |  |
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18.
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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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19.
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Write this equation in general form: 
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20.
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Determine the slope of the line with this equation:  a. | –4 | c. |  | b. |  | d. | 4 |
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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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Describe the graph of the linear function whose equation is  .
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24.
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Describe the graph of the linear function with this equation: 
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25.
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a) Determine the x- and
y-intercepts of the graph of this equation:  b)
Graph the equation. 
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Problem
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26.
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Determine the slope of each line segment. 
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27.
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Construction workers are paving a road. The road must drop 4 cm for every 650 cm
measured horizontally. a) What is the slope of the road? b) Suppose a section of the road drops 24.5
cm. How long is this section of the road measured horizontally?
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28.
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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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29.
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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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30.
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Write an equation in general form for the line that passes through A(3,
–4) and B(11, 8).
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