Unit 5 Homework Name___________________________________
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Find the distance between each pair of points. Round your answer to the nearest tenth, if
necessary.
1) (-6, -8), (-5, -5) 2) (-6, -3), (-5, -4)
3) (6, 8), (-3, -7) 4) (5, 5), (-7, -3)
Sketch the graph of each line.
6 1
5) y = - x + 4 6) y = x - 1
5 2
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 2 3 4 5 6 x
-1 -1
-2 -2
-3 -3
-4 -4
-5 -5
-6 -6
Worksheet by Kuta Software LLC
-1-
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7) x = -1 8) y = x - 4
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 2 3 4 5 6 x
-1 -1
-2 -2
-3 -3
-4 -4
-5 -5
-6 -6
Write the slope-intercept form of the equation of the line through the given point with the given
slope.
5 1
9) through: (-3, 2), slope = - 10) through: (1, -1), slope = -
3 2
9 12) through: (2, 4), slope = 0
11) through: (-2, 4), slope = -
2
Worksheet by Kuta Software LLC
-2-
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Write the slope-intercept form of the equation of the line described.
13) through: (1, 0), parallel to y = 2x - 1 3
14) through: (5, 5), parallel to y = x - 2
5
2 2
15) through: (2, -4), perp. to y = x - 1 16) through: (-2, -5), perp. to y = - x - 1
7 3
Identify the center and radius of each. Then sketch the graph.
2 2 2 2
17) ( x + 4) + ( y - 2) = 4 18) ( x - 3) + ( y - 4) = 9
y y
8 8
6 6
4 4
2 2
-8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 4 6 8 x
-2 -2
-4 -4
-6 -6
-8 -8
Worksheet by Kuta Software LLC
-3-
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Use the information provided to write the equation of each circle.
19) Center: (6, -14) 20) Center: (0, 16)
Radius: 3 Radius: 2
Identify the center and radius of each.
21) x 2 + 12x - 20 y + y 2 = -72 22) x 2 + 12 y - 33 + y 2 = -12x
Worksheet by Kuta Software LLC
-4-
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Answers to Unit 5 Homework
1) 3.2 2) 1.4 3) 17.5 4) 14.4
5) y
6) y
7) y
6 6 6
4 4 4
2 2 2
-6 -4 -2 2 4 6 x -6 -4 -2 2 4 6 x -6 -4 -2 2 4 6 x
-2 -2 -2
-4 -4 -4
-6 -6 -6
8) y
5 1 1
6
9) y = - x - 3 10) y = - x -
3 2 2
4
-6 -4 -2 2 4 6 x
-2
-4
-6
9 12) y = 4 13) y = 2x - 2 3
11) y = - x - 5 14) y = x + 2
2 5
7 3 17) y
15) y = - x + 3 16) y = x - 2 8 Center: (-4, 2)
2 2 Radius: 2
6
4
2
-8 -6 -4 -2 2 4 6 8 x
-2
-4
-6
-8
18) y
2
19) ( x - 6) + ( y + 14) = 9
2
8 Center: (3, 4)
Radius: 3
6
4
2
-8 -6 -4 -2 2 4 6 8 x
-2
-4
-6
-8
2
20) x + ( y - 16) = 4
2 21) Center: (-6, 10) 22) Center: (-6, -6)
Radius: 8 Radius: 105
Worksheet by Kuta Software LLC
-5-
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