Slopes of Parallel and Perpendicular Lines Answers

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Which coordinate for points A' and B' would help prove that lines AB and A'B' are perpendicular?

A
A': (p, m) and B': (z, w)
B
A': (p, m) and B': (z, −w)
C
A': (p, −m) and B': (z, w)
D
A': (p, −m) and B': (z, −w)
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Which ordered pairs could be points on a line parallel to the line that contains (3, 4) and (–2, 2)? Check all that apply.(–2, –5) and (–7, –3)(–1, 1) and (–6, –1)(0, 0) and (2, 5)(1, 0) and (6, 2)(3, 0) and (8, 2)

A
(–2, –5) and (–7, –3)
B
(–1, 1) and (–6, –1)
C
(0, 0) and (2, 5)
D
(1, 0) and (6, 2)
E
(3, 0) and (8, 2)
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✔ (w – x)(x – w)(z – v)

Answers:
The slope of is (v – z) divided by .:(w – x)
The slope of is divided by (w + a) – (x + a).:(v + b) – (z + b)
Both lines have a slope that is divided by.:(v – z)
Both lines have a slope that is divided by.:(w – x)
Therefore, the lines are .:parallel
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✔ (v + b) – (z + b)(z + b) – (v + b) (v + b) + (z + b)

A
✔ (v + b) – (z + b)
B
(z + b) – (v + b)
C
(v + b) + (z + b)
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(a – b)(z + v)✔ (v – z)

A
(a – b)
B
(z + v)
C
✔ (v – z)
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(a – b)✔ (w – x)(x – w)

A
(a – b)
B
✔ (w – x)
C
(x – w)
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✔ parallelperpendicularintersecting

A
✔ parallel
B
perpendicular
C
intersecting

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