Download Infinite Algebra 2 - Graphing Linear Functions

Math 1
Name___________________________________ ID: 1
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Graphing Linear Functions
Date________________ Period____
Sketch the graph of each line.
1
1) y = x
2
6
2) y = - x + 1
5
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
3) 4x + 5 y = 20
1
2
3
4
5
6 x
1
2
3
4
5
6 x
4) x + y = -5
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
Worksheet by Kuta Software LLC
-1-
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5) 2x - 3 y = -12
6) 2x - 5 y = -10
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
7) x-intercept = 3, y-intercept = -3
3
4
5
6 x
8) x-intercept = -2, y-intercept = 3
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
2
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2
3
4
5
6 x
Worksheet by Kuta Software LLC
-2-
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Write the slope-intercept form of the equation of the line through the given point with the given
slope.
9) through: (4, -5), slope = -
3
2
10) through: (-3, 5), slope = -3
Write the standard form of the equation of each line.
11)
12)
y
y
4
4
2
2
-5 -4 -3 -2 -1
1
2
3
4
5 x
-5 -4 -3 -2 -1
-2
-2
-4
-4
13)
14)
y
4
2
2
1
2
3
4
5 x
2
3
4
5 x
1
2
3
4
5 x
y
4
-5 -4 -3 -2 -1
1
-5 -4 -3 -2 -1
-2
-2
-4
-4
Worksheet by Kuta Software LLC
-3-
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Math 1
Name___________________________________ ID: 1
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Graphing Linear Functions
Date________________ Period____
Sketch the graph of each line.
1
1) y = x
2
6
2) y = - x + 1
5
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
3) 4x + 5 y = 20
1
2
3
4
5
6 x
1
2
3
4
5
6 x
4) x + y = -5
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
Worksheet by Kuta Software LLC
-1-
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5) 2x - 3 y = -12
6) 2x - 5 y = -10
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
7) x-intercept = 3, y-intercept = -3
3
4
5
6 x
8) x-intercept = -2, y-intercept = 3
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
2
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2
3
4
5
6 x
Worksheet by Kuta Software LLC
-2-
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Write the slope-intercept form of the equation of the line through the given point with the given
slope.
9) through: (4, -5), slope = -
3
2
10) through: (-3, 5), slope = -3
y = -3x - 4
3
y=- x+1
2
Write the standard form of the equation of each line.
11)
12)
y
y
4
4
2
2
-5 -4 -3 -2 -1
1
2
3
4
5 x
-5 -4 -3 -2 -1
-2
-2
-4
-4
x + 2y = 0
1
2
3
4
5 x
1
2
3
4
5 x
3x - y = -1
13)
14)
y
y
4
4
2
2
-5 -4 -3 -2 -1
1
2
3
4
5 x
-5 -4 -3 -2 -1
-2
-2
-4
-4
6x - 5 y = 25
5x - y = 0
Worksheet by Kuta Software LLC
-3-
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