Algebra 1 Companion Book, Vol 1 – Summer Edition

5.2 Review Worksheet (continued)

Write the equation that describes each line in slope-intercept form.

2 7 , (14, − 3) is on the line

4 5 , ( − 15, 1) is on the line

25. slope = −

26. slope =

27. slope = − 6, (9, 3) is on the line

28. (7, 8) and ( − 7, 6) are on the line

29. (2, 7) and (4, − 4) are on the line

30. ( − 1, 2) and (4, − 23) are on the line

31. x- intercept = 3, y- intercept = − 6

32. x -intercept = 4, y- intercept = − 1

Each pair of points is on a line. Find the intercepts.

33. ( − 1, − 4) and (6, 10)

34. (3, 4) and ( − 6, 16)

35. (4, 15) and ( − 2, 6)

36. At higher altitudes, water boils at lower temperatures. This relationship between altitude and boiling point is linear. The table shows some altitudes and corresponding boiling points. Write an equation in slope-intercept form that represents this linear function. Then find the boiling point at 6000 feet.

Boiling Point of Water Altitude (ft) Temperature (°F) 1000 210 1500 209 3000 206

5.2.3 Slopes of Parallel and Perpendicular Lines Identify which lines are parallel. 37. x = 7; y = − x + 8; y = − x − 4; x = − 9

5 6

5 6

38. y = − x ; y − 3 = − 1( x + 9); y − 6 = 1 2

1 2

( x − 14); y + 1 =

x

39. y = − 3 x + 2; y = 1 2

x − 1; − x + 2 y = 17; 3 x + y = 27

306

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