Algebra 2 - Review for Quiz #2

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Algebra II - Clark
Name___________________________________
Review for Quiz #2
Date________________ Period____
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Find the slope of each line.
1)
2)
Find the slope of the line through each pair of points.
3) (−17, −8), (−1, −8)
4) (−13, 13), (8, −16)
Find the slope of each line.
5) −3 x − 6 y = −12
6) −2 y + 4 x = 4
Find the slope of a line parallel to the given line.
Find the slope of a line perpendicular to the given
line.
7) −25 = 5 y + 3 x
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8) 2 y = 10 + 3 x
-1-
Worksheet by Kuta Software LLC
Sketch the graph of each line.
9) y = 2 x + 3
10) y = −5 x + 1
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
11) 2 x − y = 4
1
2
3
4
5
6
1
2
3
4
5
6
4
5
12) 6 x + 5 y = 20
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
Write the slope-intercept form of the equation of each line.
13)
14)
4
4
2
2
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−4
−4
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-2-
1
2
3
Worksheet by Kuta Software LLC
Write the slope-intercept form of the equation of the line through the given point with the given slope.
15) through: (−4, 5), slope = undefined
16) through: (5, 3), slope =
2
5
Write the slope-intercept form of the equation of the line through the given points.
17) through: (4, −1) and (0, 3)
18) through: (2, 2) and (0, 0)
Write the slope-intercept form of the equation of the line described.
5
19) through: (4, −5), parallel to y = − x + 3
4
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1
20) through: (1, 2), perp. to y = − x + 3
2
-3-
Worksheet by Kuta Software LLC
Algebra II - Clark
Name___________________________________
Review for Quiz #2
Date________________ Period____
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Find the slope of each line.
1)
2)
2
−
1
2
Find the slope of the line through each pair of points.
3) (−17, −8), (−1, −8)
0
4) (−13, 13), (8, −16)
29
−
21
Find the slope of each line.
5) −3 x − 6 y = −12
−
6) −2 y + 4 x = 4
2
1
2
Find the slope of a line parallel to the given line.
7) −25 = 5 y + 3 x
3
−
5
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Find the slope of a line perpendicular to the given
line.
8) 2 y = 10 + 3 x
2
−
3
-1-
Worksheet by Kuta Software LLC
Sketch the graph of each line.
9) y = 2 x + 3
10) y = −5 x + 1
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
11) 2 x − y = 4
1
2
3
4
5
6
1
2
3
4
5
6
4
5
12) 6 x + 5 y = 20
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
Write the slope-intercept form of the equation of each line.
13)
14)
4
4
2
2
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−4
−4
4
y=− x−1
5
1
y=− x−3
2
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-2-
1
2
3
Worksheet by Kuta Software LLC
Write the slope-intercept form of the equation of the line through the given point with the given slope.
15) through: (−4, 5), slope = undefined
x = −4
16) through: (5, 3), slope =
y=
2
x+1
5
2
5
Write the slope-intercept form of the equation of the line through the given points.
17) through: (4, −1) and (0, 3)
18) through: (2, 2) and (0, 0)
y=x
y = −x + 3
Write the slope-intercept form of the equation of the line described.
5
5
1
19) through: (4, −5), parallel to y = − x + 3 y = − x 20) through: (1, 2), perp. to y = − x + 3
4
4
2
y = 2x
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-3-
Worksheet by Kuta Software LLC
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