Worksheet - Review of Linear Functions (Lines)

Algebra 1

Review of Linear Functions (Lines)

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Find the slope of each line.

1)

ID: 1

Name___________________________________ Date________________ Period____

2)

Find the slope of the line through each pair of points.

3) (10, 2), (-9, 7)

4) (-16, 11), (-19, -12)

Find the slope of each line. 5) y = 3x + 2

6) y = -x + 5

Find the slope of a line parallel to each given line. 7) y = -2x - 2

1 8) y = x + 4

4

Find the slope of a line perpendicular to each given line.

1 9) y = - x - 2

2

5 10) y = x

2

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Worksheet by Kuta Software LLC

Sketch the graph of each line.

11) y = 3

6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

-2 -3 -4 -5 -6

13) y = x + 5

6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

-2 -3 -4 -5 -6

15) x-intercept = 1, y-intercept = -4

6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

-2 -3 -4 -5 -6

12) y = -4x + 4

6 5 4 3 2 1

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

-2 -3 -4 -5 -6

1 14) y = x + 4

4

6 5 4 3 2 1

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

-2 -3 -4 -5 -6

16) x-intercept = 4, y-intercept = -3

6 5 4 3 2 1

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

-2 -3 -4 -5 -6

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Worksheet by Kuta Software LLC

Write the slope-intercept form of the equation of each line.

17)

18)

4

4

2

2

-5 -4 -3 -2 -1 0 1 2 3 4 5 -2 -4

-5 -4 -3 -2 -1 0 1 2 3 4 5 -2 -4

19)

4 2

-5 -4 -3 -2 -1 0 1 2 3 4 5 -2 -4

20)

4 2

-5 -4 -3 -2 -1 0 1 2 3 4 5 -2 -4

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

3 21) Slope = - , y-intercept = 5

4

22) Slope = -1, y-intercept = 1

4 23) Slope = - , y-intercept = -1

5

24) Slope = -1, y-intercept = -3

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Worksheet by Kuta Software LLC

Write the slope-intercept form of the equation of each line.

25) x - y = 6

26) x = -3

27) x = 5

28) 8x - 7y = 17

29) x - 2 y = -12

30) 2x - 5y = 5

Write the standard form of the equation of each line given the slope and y-intercept.

31) Slope = -3, y-intercept = -3

3 32) Slope = , y-intercept = 4

2

3 33) Slope = , y-intercept = -2

2

3 34) Slope = - , y-intercept = -1

5

1 35) Slope = - , y-intercept = 4

5

1 36) Slope = , y-intercept = 3

2

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Worksheet by Kuta Software LLC

Write the slope-intercept form of the equation of the line through the given point with the given slope.

37) through: (-1, -2), slope = -1

38) through: (4, -5), slope = undefined

39) through: (-5, 4),

4 slope = -

5

40) through: (4, 5), slope = 1

41) through: (-3, 0),

4 slope =

3

42) through: (-5, -3),

1 slope =

6

Write the slope-intercept form of the equation of the line through the given points.

43) through: (2, 1) and (0, -5)

44) through: (4, -2) and (4, -5)

45) through: (1, -1) and (4, -5)

46) through: (0, 2) and (-2, -5)

47) through: (5, -4) and (3, -4)

48) through: (2, 1) and (-4, 0)

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Worksheet by Kuta Software LLC

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