Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
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Find the slope of the line.
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| 1. | a. | –  | b. | | c. | | d. | | | | | | | | | |
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Find the slope of the line that passes through the pair of
points.
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| 2. | (–5.5, 6.1), (–2.5, 3.1)
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Find the slope and y-intercept of the line.
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| 3. |
y =  x – 3
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Write an equation of a line with the given slope and
y-intercept.
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| 4. | m =  , b = 
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Write the slope-intercept form of the equation for the line.
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| 5. |
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Find the x- and y-intercept of the line.
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| 6. | 2x + 3y = –18 a. | x-intercept is 18; y-intercept is
18. | c. | x-intercept is 2; y-intercept is 3. | b. | x-intercept is –6; y-intercept is
–9. | d. | x-intercept is –9; y-intercept is
–6. | | | | |
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Match the equation with its graph.
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| 7. | –7x + 7y = –49
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| 8. | Write
an equation of a line that has the same slope as 2x – 5y = 12 and the same
y-intercept as 4y + 24 = 5x.
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Graph the equation.
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| 9. | y
+ 5 =  (x + 2)
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| 10. | y = –3
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Write an equation in point-slope form for the line through the given point with the
given slope.
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| 11. | (4,
–6); m = 
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| 12. | A
line passes through (1, –5) and (–3, 7).
a. Write
an equation for the line in point-slope form.
b.
Rewrite the equation in slope-intercept form. a. | y – 5 = 3(x + 1); y = 3x +
8 | c. | | b. |  ; | d. | y + 5 = –3(x – 1); y =
–3x – 2 | | | | |
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| 13. | In
February, you have a balance of $270 in your bank account. Each month you deposit $45. Let
January = 1, February = 2, and so on. Write an equation for this situation. Use
the equation to find the balance in June. a. | y – 270 = 45(x – 2) ;
$450 | c. | y =
45(x – 4); $180 | b. | y = 45(x – 4);
$270 | d. | y –
270 = 45x; $45 | | | | |
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Are the graphs of the lines in the pair parallel? Explain.
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| 14. | y =  x + 8
–2x + 12y = –11 a. | Yes, since the
slope are the same and the y-intercepts are the same. | b. | No, since the
y-intercepts are different. | c. | Yes, since the slope are the same and the y-intercepts
are different. | d. | No, since the slopes are different. | | |
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Write an equation for the line that is parallel to the given line and that passes
through the given point.
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| 15. | y
=  x – 9; (–8,
–18) a. | y =  x  | c. | y =  x – 12 | b. | y =  x – 12 | d. | y =  x + 12 | | | | |
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Tell whether the lines for each pair of equations are parallel,
perpendicular, or neither.
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| 16. | 7x – 4y = 4
x –
4y = 3 a. | perpendicular | b. | parallel | c. | neither | | | | | | |
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Write the equation of a line that is perpendicular to the given line and that
passes through the given point.
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| 17. | 4x – 12y = 2; (10, –1) a. | y =  x + 29 | c. | y =  x + 29 | b. | y =  x + 29 | d. | y =  x + 7 | | | | |
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Short Answer
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| | 18. | Suppose you have $20.00 to buy cold cuts for a class picnic. Ham costs $3.99 per pound
and turkey costs $4.99 per pound. The equation 3.99x + 4.99y = 20 models this
situation. What does the x-intercept of the graph of the equation tell you about the amount of
meat you can buy?
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Other
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| | 19. | Why
is it NOT possible to write the equation of the line through (–8, –5) and (–8,
–9) in slope-intercept form?
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