Study Guide and Review - Chapter 4
Write an equation of a line in slope-intercept form with the given slope and y-intercept. Then graph the
equation.
11. slope:−2, y-intercept: −9
ANSWER: y = −2x − 9
13. slope:
, y-intercept: −2
ANSWER: y=
x−2
Graph each equation.
15. y = −3x + 5
ANSWER: 17. 3x + 4y = 8
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Study Guide and Review - Chapter 4
17. 3x + 4y = 8
ANSWER: Write an equation of the line that passes through the given point and has the given slope.
19. (1, 2), slope 3
ANSWER: y = 3x − 1
21. (−3, −1), slope
ANSWER: Write an equation of the line that passes through the given points.
23. (2, −1), (5, 2)
ANSWER: y=x−3
25. (3, 5), (5, 6)
ANSWER: 27. CAMP In 2005, a camp had 450 campers. Five years later, the number of campers rose to 750. Write a linear
equation that represents the number of campers that attend camp.
ANSWER: y = 60x + 450
Write an equation in point-slope form for the line that passes through the given point with the slope
provided.
29. (−2, 1), slope −3
ANSWER: y − 1 = −3(x + 2)
Write each equation in standard form.
31. y − 3 = 5(x − 2)
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ANSWER: 5x − y = 7
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provided.
29. (−2, 1), slope −3
ANSWER: Study
and+Review
- Chapter 4
y −Guide
1 = −3(x
2)
Write each equation in standard form.
31. y − 3 = 5(x − 2)
ANSWER: 5x − y = 7
33. y + 4 =
(x − 3)
ANSWER: x − 2y = 11
Write each equation in slope-intercept form.
35. y − 2 = 3(x − 5)
ANSWER: y = 3x − 13
37. y + 3 = 5(x + 1)
ANSWER: y = 5x + 2
Write an equation in slope-intercept form for the line that passes through the given point and is parallel
to the graph of each equation.
39. (2, 5), y = x − 3
ANSWER: y=x+3
41. (−4, 1), y = −2x − 6
ANSWER: y = −2x − 7
Write an equation in slope-intercept form for the line that passes through the given point and is
perpendicular to the graph of the given equation.
43. (2, 4), y = 3x + 1
ANSWER: 45. (−5, 2), y =
x+4
ANSWER: y = −3x − 13
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