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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-1-
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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-2-
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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-3-
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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-4-
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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-5-
Worksheet by Kuta Software LLC
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