Download Homework 10/20/2016

Algebra 2
Name___________________________________ ID: 1
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Assignment
Date________________ Period____
Find the slope of each line.
1)
2)
y
y
x
x
Find the slope of the line through each pair of points.
3) (3, -20), (-6, 16)
4) (16, -12), (11, -5)
Sketch the graph of each line.
5) 4x + 5 y = 20
6) 2x + 3 y = -15
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
2
3
4
5
6 x
Worksheet by Kuta Software LLC
-1-
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7) 3x - 4 y = 20
8) x + y = 0
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
6 x
5
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2
3
4
6 x
5
Write the point-slope form of the equation of the line through the given point with the given
slope.
9) through: (4, -5), slope = -
1
2
11) through: (2, -1), slope = -2
10) through: (-2, 3), slope = -
5
2
12) through: (-2, -5), slope =
5
2
Write the slope-intercept form of the equation of the line through the given points.
13) through: (0, -1) and (1, -3)
14) through: (1, 4) and (0, 0)
15) through: (-4, 0) and (2, 0)
16) through: (4, -4) and (0, -5)
Write the standard form of the equation of the line described.
17) through: (-1, -3), parallel to y = 5x - 3
4
18) through: (-5, 5), parallel to y = - x + 2
5
5
19) through: (-5, 0), perp. to y = - x + 3
3
1
20) through: (1, 3), perp. to y = - x + 4
5
Worksheet by Kuta Software LLC
-2-
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Algebra 2
Name___________________________________ ID: 1
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Assignment
Date________________ Period____
Find the slope of each line.
1)
5
3
y
2)
y
x
x
-2
Find the slope of the line through each pair of points.
3) (3, -20), (-6, 16)
-4
4) (16, -12), (11, -5) -
7
5
Sketch the graph of each line.
5) 4x + 5 y = 20
6) 2x + 3 y = -15
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
2
3
4
5
6 x
Worksheet by Kuta Software LLC
-1-
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7) 3x - 4 y = 20
8) x + y = 0
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
6 x
5
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2
3
4
6 x
5
Write the point-slope form of the equation of the line through the given point with the given
slope.
9) through: (4, -5), slope = -
1
1
5
5
y + 5 = - ( x - 4) 10) through: (-2, 3), slope = y - 3 = - ( x + 2)
2
2
2
2
11) through: (2, -1), slope = -2
y + 1 = -2( x - 2)
12) through: (-2, -5), slope =
5
5
y + 5 = ( x + 2)
2
2
Write the slope-intercept form of the equation of the line through the given points.
13) through: (0, -1) and (1, -3)
y = -2x - 1
14) through: (1, 4) and (0, 0)
y = 4x
15) through: (-4, 0) and (2, 0)
y=0
1
16) through: (4, -4) and (0, -5) y = x - 5
4
Write the standard form of the equation of the line described.
17) through: (-1, -3), parallel to y = 5x - 3
5x - y = -2
4
18) through: (-5, 5), parallel to y = - x + 2
5
4x + 5 y = 5
5
19) through: (-5, 0), perp. to y = - x + 3
3
3x - 5 y = -15
1
20) through: (1, 3), perp. to y = - x + 4
5
5x - y = 2
Worksheet by Kuta Software LLC
-2-
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