Write an equation in slope-intercept form of the line having the given

3-4 Equations of Lines
Write an equation in slope-intercept form of the line having the given slope and y-intercept or given
points. Then graph the line.
14. m: –7, b: –4
ANSWER: y = –7x – 4
16. m: 12, y-intercept:
ANSWER: 18. ANSWER: eSolutions
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an equation
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Then graph the line.
20. m = 4, (–4, 8)
form of the line having the given slope that contains the given point. Page 1
3-4 Equations of Lines
Write an equation in point-slope form of the line having the given slope that contains the given point.
Then graph the line.
20. m = 4, (–4, 8)
ANSWER: y – 8 = 4(x + 4)
22. (–2, –5)
ANSWER: 24. m = –2.4, (14, –12)
ANSWER: y + 12 = –2.4(x – 14)
Write an equation of the line through each pair of points in slope-intercept form.
26. (2, –1) and (2, 6)
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ANSWER: x =2
Page 2
3-4 Equations of Lines
Write an equation of the line through each pair of points in slope-intercept form.
26. (2, –1) and (2, 6)
ANSWER: x =2
28. (0, 5) and (3, 3)
ANSWER: 30. (2, 4) and (–4, –11)
ANSWER: Write an equation in slope-intercept form for each line shown or described.
32. ANSWER: y =5
34. ANSWER: y = 2x + 3
36. x-intercept =
, y-intercept = 4
ANSWER: y = 8x + 4
Write an equation in slope-intercept form for each line described.
38. passes through (–1, –10), parallel to y = 7
ANSWER: y = –10
40. passes through (–2, 2), perpendicular to y = –5x – 8
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ANSWER: Page 3
Write an equation in slope-intercept form for each line described.
38. passes through (–1, –10), parallel to y = 7
ANSWER: 3-4 Equations
y = –10 of Lines
40. passes through (–2, 2), perpendicular to y = –5x – 8
ANSWER: 42. CCSS MODELING Victor is saving his money to buy a new satellite radio for his car. He wants to save enough
money for the radio and one year of satellite radio service before he buys it. He started saving for the radio with $50
that he got for his birthday. Since then, he has been adding $15 every week after he cashes his paycheck.
a. Write an equation to represent Victor’s savings y after x weeks.
b. Graph the equation.
c. How long will it take Victor to save $150?
d. A satellite radio costs $180. Satellite radio service costs $10 per month. If Victor started saving two weeks ago,
how much longer will it take him to save enough money? Explain.
ANSWER: a. y = 15x + 50
b.
c. 7 wk
d. 15; If Victor started saving two weeks ago, he already has $50 + $15 + $15 or $80. He needs to save $180 + 12
($10) or $300. He still needs to save $300 − $80 or $220. Dividing $220 by $15, it will take 15 more weeks for Victor
to save enough money.
Name the line(s) on the graph shown that match each description.
44. perpendicular to
ANSWER: Determine whether the lines are parallel , perpendicular , or neither.
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46. y = 2x
ANSWER: parallel
Page 4
44. perpendicular to
ANSWER: 3-4 Equations of Lines
Determine whether the lines are parallel , perpendicular , or neither.
46. y = 2x + 4, y = 2x – 10
ANSWER: parallel
48. ANSWER: perpendicular
50. Write an equation in slope-intercept form for a line containing (4, 2) that is parallel to the line y – 2 = 3(x + 7).
ANSWER: y = 3x – 10
52. Write an equation in slope-intercept form for a line containing (5, 3) that is parallel to the line
ANSWER: eSolutions Manual - Powered by Cognero
Page 5