Finding Slope Worksheet With Answer Key Page 10

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ID: A
ESSAY
20. ANS:
[4]
5
y =
x − 11
3
Ê
ˆ
Á Á
˜ ˜
5
3y = 3
x − 11
Á Á
˜ ˜
˜ ˜ Multiply each side by 3.
Á Á
3
Ë
¯
3y = 5x − 33
Use the Distributive Property.
−5x + 3y = −33
Subtract 5x from each side.
[3]
correct steps with no justification OR one computational error
[2]
more than one computational error
[1]
more than one computational error and no justification
PTS: 1
DIF: L3
REF: 5-3 Standard Form
OBJ: 5-3.2 Writing Equations in Standard Form
STA: CA A1 6.0
TOP: 5-3 Example 4
KEY: essay | transforming equations | rubric-based question | extended response
21. ANS:
8 − 1
[4]
a.
7
Elm: (4,1), (8, 8); m =
=
8 − 4
4
7 − 7
b.
0
Birch: (10, 7), (1, 7); m =
=
= 0
10 − 1
9
3 − 3
0
Poplar: (10, 3), (1, 3); m =
=
= 0
10 − 1
9
Birch Street and Poplar Avenue both have a slope of 0, so they are parallel.
10 − 2
c.
8
Fir: (5, 10), (2, 2); m =
=
5 − 2
3
Birch has a slope of 0, so it is horizontal. To be perpendicular, Fir would have
8
to be vertical, but it has a slope of
so it is not perpendicular to Birch.
3
[3]
two parts correct
[2]
one part correct with computational errors in the other parts OR missing
explanations
[1]
more than two computational errors OR one computation error and missing
explanations
PTS: 1
DIF: L3
REF: 5-5 Parallel and Perpendicular Lines
OBJ: 5-5.2 Perpendicular Lines
STA: CA A1 7.0 | CA A1 8.0
TOP: 5-5 Example 4
KEY: parallel lines | perpendicular lines | graphing | problem solving | word problem | extended response |
rubric-based question
3

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