ID: 1
Algebra 2 ATTACH PAPER SHOWING WORK.
Name___________________________________
2.6 Linear Equations: Slope Mixed Practice #2
Date________________ Period____
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Find the slope of the line through each pair of points.
1) (8, 7), (−10, 0)
2) (−5, −14), (−19, −18)
Find the slope of each line.
3) y = x − 1
4) 5 x − 2 y = −2
Find the slope of each line. Pick a point on the y-axis to use for the "b" value (the y-intercept) and, using
the slope you found, write the slope intercept form of the equation of a line parallel to the original and a
line perpendicular to the original. (Answer key will show ONLY the slope of the original line.)
5)
6)
y
y
x
7)
x
8)
y
y
x
9) Find the slope of this line: y = −4
x
10) Find the slope of this line: x = 3
11) Find the slope of this line:
−2 x + 3 y = −2 x + 6
Find the slope of a line parallel to each given line.
12) − y + 7 x = 4
13) −27 = 9 y − 15 x
Find the slope of a line perpendicular to each given line.
14) −8 + 5 x = 4 y
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15) − x = −2 y − 2
-1-
Worksheet by Kuta Software LLC
Sketch the graph of each line.
16) x = 2
17) 0 = − x +
y
1
5
y+
9
9
6
5
y
6
4
5
3
4
2
3
1
2
−6 −5 −4 −3 −2 −1
1
2
3
4
5
−1
6 x
1
−6 −5 −4 −3 −2 −1
−2
1
2
3
4
5
6 x
1
2
3
4
5
6 x
−1
−3
−2
−4
−3
−5
−4
−6
−5
−6
19) 3 x − 2 y = −2
8
18) y = − x − 4
3
y
6
5
y
6
4
5
3
4
2
3
1
2
−6 −5 −4 −3 −2 −1
1
−1
−6 −5 −4 −3 −2 −1
1
2
3
4
5
−1
6 x
−2
−3
−2
−4
−3
−5
−4
−6
−5
−6
20) 5 x + y = 0
21) x-intercept = 3, y-intercept = 1
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
−1
6 x
−6 −5 −4 −3 −2 −1
1
2
3
4
5
−1
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
6 x
Using the slope formula, plug in the numbers into the right places, then simplify and solve for the missing
"x" value. Do your work on separate paper.
5
8
1
24) (−4, −3) and (6, y); slope:
2
22) (7, 1) and ( x, 6); slope: −
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23) (−7, 9) and ( x, 8); slope: −
25) (1, y) and (8, 3); slope: −
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1
9
2
7
Worksheet by Kuta Software LLC
Answers to 2.6 Linear Equations: Slope Mixed Practice #2 (ID: 1)
3) 1
7
18
9) 0
1)
5)
11) 0
17)
3
2
1
4
15) −2
7) −
5
3
13)
19)
21)
y
−6
23) 2
−4
y
y
6
6
6
4
4
4
2
2
2
−2
2
4
6 x
−6
−4
−2
2
4
6 x
−6
−4
−2
2
−2
−2
−2
−4
−4
−4
−6
−6
−6
4
6 x
25) 5
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-3-
Worksheet by Kuta Software LLC