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 Manual - Powered by Write an equation inCognero point-slope 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) eSolutions Manual - Powered by Cognero 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 eSolutions Manual - Powered by Cognero 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. eSolutions Manual + 4,-yPowered = 2x –by10Cognero 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

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