Download Infinite Algebra 1

Algebra 1
Name___________________________________ ID: 1
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Tutorials
Date________________ Period____
Sketch the graph of each line.
1) 3 x - y = 2
2) 4 x + 3 y = -9
y
y
6
5
4
3
2
1
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1
1 2 3 4 5 6 x
-1
-2
-3
-4
-5
-6
3) 3 x - 2 y = 4
-6 -5 -4 -3 -2 -1
1 2 3 4 5 6 x
-1
-2
-3
-4
-5
-6
4) 7 x - 5 y = 20
y
y
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
6
5
4
3
2
1
1 2 3 4 5 6 x
-6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
1 2 3 4 5 6 x
Worksheet by Kuta Software LLC
-1-
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Find the slope of each line.
5)
6)
y
y
x
7)
x
8)
y
y
x
x
Find the slope of the line through each pair of points.
9) (12, 11), (-4, 11)
10) (-16, -7), (-9, -5)
11) (4, 13), (-20, 5)
12) (-19, 0), (-12, -11)
13) (1, 20), (16, -20)
14) (2, 14), (-7, 10)
Worksheet by Kuta Software LLC
-2-
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15) (-11, 15), (0, 11)
16) (-4, 6), (10, 12)
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
1
2
2
3
17) Slope = , y-intercept = 4
18) Slope = , y-intercept = -2
20) Slope = 0, y-intercept = 5
1
4
19) Slope = , y-intercept = 2
Write the point-slope form of the equation of the line through the given point with the given slope.
21) through: (-5, 1), slope = -6
23) through: (4, 0), slope = 1
22) through: (-2, -1), slope =
1
2
24) through: (1, 3), slope = 3
Write the slope-intercept form of the equation of the line through the given point with the given
slope.
25) through: (-4, -5), slope =
3
4
26) through: (-4, 3), slope = undefined
Worksheet by Kuta Software LLC
-3-
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27) through: (2, 1), slope = 1
28) through: (0, -2), slope = 2
Write the standard form of the equation of the line through the given point with the given slope.
29) through: (-4, 2), slope = -1
31) through: (0, -1), slope =
1
2
30) through: (2, 3), slope =
1
5
32) through: (5, -5), slope = -1
Write the slope-intercept form of the equation of the line through the given points.
33) through: (-2, -1) and (-4, -4)
34) through: (5, 5) and (1, -3)
35) through: (0, 5) and (1, -1)
36) through: (-4, 3) and (4, 1)
Write the standard form of the equation of the line through the given points.
37) through: (0, -2) and (0, 0)
38) through: (-4, 4) and (0, 2)
39) through: (4, 1) and (-5, 1)
40) through: (-1, 3) and (0, -2)
Worksheet by Kuta Software LLC
-4-
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Algebra 1
Name___________________________________ ID: 1
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Tutorials
Date________________ Period____
Sketch the graph of each line.
1) 3 x - y = 2
2) 4 x + 3 y = -9
y
y
6
5
4
3
2
1
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1
1 2 3 4 5 6 x
-1
-2
-3
-4
-5
-6
3) 3 x - 2 y = 4
-6 -5 -4 -3 -2 -1
1 2 3 4 5 6 x
-1
-2
-3
-4
-5
-6
4) 7 x - 5 y = 20
y
y
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
6
5
4
3
2
1
1 2 3 4 5 6 x
-6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
1 2 3 4 5 6 x
Worksheet by Kuta Software LLC
-1-
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Find the slope of each line.
5)
6)
y
y
x
x
0
-
7)
1
6
8)
y
y
x
x
-4
7
Find the slope of the line through each pair of points.
9) (12, 11), (-4, 11)
10) (-16, -7), (-9, -5)
0
2
7
11) (4, 13), (-20, 5)
12) (-19, 0), (-12, -11)
1
3
-
13) (1, 20), (16, -20)
-
11
7
14) (2, 14), (-7, 10)
8
3
4
9
Worksheet by Kuta Software LLC
-2-
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15) (-11, 15), (0, 11)
-
16) (-4, 6), (10, 12)
4
11
3
7
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
1
2
2
3
17) Slope = , y-intercept = 4
18) Slope = , y-intercept = -2
1
2
2
3
y= x+4
y= x-2
20) Slope = 0, y-intercept = 5
1
4
19) Slope = , y-intercept = 2
y=5
1
4
y= x+2
Write the point-slope form of the equation of the line through the given point with the given slope.
21) through: (-5, 1), slope = -6
22) through: (-2, -1), slope =
y - 1 = -6( x + 5)
y+1=
23) through: (4, 0), slope = 1
1
2
1(
x + 2)
2
24) through: (1, 3), slope = 3
y - 3 = 3( x - 1 )
y=x-4
Write the slope-intercept form of the equation of the line through the given point with the given
slope.
25) through: (-4, -5), slope =
3
4
26) through: (-4, 3), slope = undefined
x = -4
3
4
y= x-2
Worksheet by Kuta Software LLC
-3-
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27) through: (2, 1), slope = 1
28) through: (0, -2), slope = 2
y=x-1
y = 2x - 2
Write the standard form of the equation of the line through the given point with the given slope.
29) through: (-4, 2), slope = -1
30) through: (2, 3), slope =
x + y = -2
1
5
x - 5 y = -13
31) through: (0, -1), slope =
1
2
32) through: (5, -5), slope = -1
x+ y=0
x - 2y = 2
Write the slope-intercept form of the equation of the line through the given points.
33) through: (-2, -1) and (-4, -4)
34) through: (5, 5) and (1, -3)
y = 2x - 5
3
2
y= x+2
35) through: (0, 5) and (1, -1)
36) through: (-4, 3) and (4, 1)
y = -6 x + 5
1
4
y=- x+2
Write the standard form of the equation of the line through the given points.
37) through: (0, -2) and (0, 0)
38) through: (-4, 4) and (0, 2)
x=0
39) through: (4, 1) and (-5, 1)
x + 2y = 4
40) through: (-1, 3) and (0, -2)
y=1
5 x + y = -2
Worksheet by Kuta Software LLC
-4-
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