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Worksheet by Kuta Software LLC
Algebra 2 Summer Work - Week 2
Slopes, Equations of Lines, and Graphing
Name___________________________________ ID: 1
Date________________ Period____
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-1-
Find the slope of each line.
1)
x
y
2)
x
y
Find the slope of the line through each pair of points.
3)
(
-10, -16
)
,
(
-13, 7
)
4)
(
-8, 15
)
,
(
-19, 19
)
Find the slope of each line.
5) y = 2x + 3 6) 3x + y = -1
Find the slope of a line parallel to each given line.
7) y =
4
3
x
8) x - y = 4
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Worksheet by Kuta Software LLC
-2-
Find the slope of a line perpendicular to each given line.
9) y = 2 10) x + y = 0
Sketch the graph of each line.
11) y = -
1
5
x - 1
x
y
-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
12) y = -
3
5
x - 5
x
y
-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
13) x + y = -3
x
y
-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
14) 3x - y = 4
x
y
-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
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Worksheet by Kuta Software LLC
-3-
Write the slope-intercept form of the equation of each line.
15)
x
y
-5 -4 -3 -2 -1 1 2 3 4 5
-4
-2
2
4
16)
x
y
-5 -4 -3 -2 -1 1 2 3 4 5
-4
-2
2
4
17) Slope = -4, y-intercept = -3
18) Slope = -
1
2
, y-intercept = -5
19) 11x + 7 y = 21 20) 12x - y = -6
21) through:
(
4, 0
)
, slope =
5
4
22) through:
(
-2, -5
)
, slope = 9
23) through:
(
-2, -5
)
and
(
0, 3
)
24) through:
(
-1, 5
)
and
(
0, -1
)
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Worksheet by Kuta Software LLC
-4-
25) through:
(
-2, -5
)
, parallel to y =
1
2
x + 2 26) through:
(
1, 5
)
, parallel to y =
7
3
x - 1
27) through:
(
2, -5
)
, perp. to y =
1
5
x - 3 28) through:
(
1, -2
)
, perp. to y =
1
3
x - 4
Write the point-slope form of the equation of the line.
29) through:
(
-3, -5
)
, slope = 0
30) through:
(
5, 3
)
, slope =
7
9
31) through:
(
-4, 2
)
and
(
-1, 4
)
32) through:
(
-3, -5
)
and
(
0, 5
)
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-5-
Answers to Slopes, Equations of Lines, and Graphing (ID: 1)
1) -
4
3
2) 0
3) -
23
3
4) -
4
11
5) 2 6) -3
7)
4
3
8) 1
9) Undefined
10) 1
11)
x
y
-6 -4 -2 2 4 6
-6
-4
-2
2
4
6
12)
x
y
-6 -4 -2 2 4 6
-6
-4
-2
2
4
6
13)
x
y
-6 -4 -2 2 4 6
-6
-4
-2
2
4
6
14)
x
y
-6 -4 -2 2 4 6
-6
-4
-2
2
4
6
15) y = -2x + 2
16) y =
7
4
x + 2
17) y = -4x - 3
18) y = -
1
2
x - 5
19) y = -
11
7
x + 3
20) y = 12x + 6
21) y =
5
4
x - 5
22) y = 9x + 13
23) y = 4x + 3 24) y = -6x - 1
25) y =
1
2
x - 4 26) y =
7
3
x +
8
3
27) y = -5x + 5 28) y = -3x + 1 29) y + 5 = 0
30) y - 3 =
7
9
(
x - 5
)
31) y - 2 =
2
3
(
x + 4
)
32) y + 5 =
10
3
(
x + 3
)