Worksheet - Review of Linear Functions and equations

Integrated 1 Unit 1

Review of Linear Functions (Lines)

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Find the slope of each line.

1)

ID: 1

Name___________________________________ Date________________ Period____

2)

3)

4)

5 5) y = - x + 3

4

1 6) y = - x + 2

2

3 7) y = - x

4

5 8) y = - x + 5

3

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

9) (17, -6), (-11, 7)

10) (3, 4), (-4, -5)

11) (-20, 14), (17, 15)

12) (11, -18), (-1, -7)

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Worksheet by Kuta Software LLC

Find the slope of a line parallel to each given line. 2

13) y = x - 2 3

9 14) y = x - 5

5

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

1 15) y = - x - 2

2

16) y = -x - 1

Sketch the graph of each line.

4 17) y = x + 2

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

7 19) 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

5 18) y = x - 2

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

5 20) y = x - 5

2

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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1 21) 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

23) x-intercept = -2, y-intercept = -2

6 5 4 3 2 1

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

-2 -3 -4 -5 -6

25) 3x + 4 y = -12

6 5 4 3 2 1

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

-2 -3 -4 -5 -6

22) y = -x + 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

24) x-intercept = 5, 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

26) 5x + 3y = -6

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

27) x + y = -2

6 5 4 3 2 1

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

-2 -3 -4 -5 -6

28) 2x + 5y = -10

6 5 4 3 2 1

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

-2 -3 -4 -5 -6

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

29)

30)

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

31)

4 2

32)

4 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

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33) x - 2 y = 7

34) 7x + 2y = -28

35) 2x + 3 y = -6

36) 2x + 3y = -7

37) 4x + y = 5

38) 4x - 3y = 6

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

39) Slope = -10, y-intercept = -5

9 40) Slope = - , y-intercept = -4

5

5 41) Slope = - , y-intercept = 5

4

42) Slope = 7, y-intercept = 5

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

43) Slope = -4, y-intercept = 3

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

2

9 45) Slope = - , y-intercept = 4

2

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

5

5 47) Slope = , y-intercept = 1

4

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

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

49) through: (-1, 1), slope = 1

50) through: (2, 5), slope = 2

51) through: (1, -1),

3 slope = -

5

52) through: (5, 1), slope = -1

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