PRECALCULUS:GRAPHICAL,...-NASTA ED.
PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780134672090
Author: Demana
Publisher: PEARSON
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Expert Solution & Answer
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Chapter P.4, Problem 65E
Solution

Which of the following lines is perpendicular to the line y=−2x+5 ?

A. y=2x+1

B. y=−2x−15

C. y=−12x+13

D. y=−12x+3

E. y=12x−3

E. y=12x−3

Given information:

Line y=−2x+5

Concept used:

We can write the equation of a line perpendicular to a given line if we know a point on the line and an equation of the given line. y−y1=m(x−x1) .

Calculation:

The given Line y=−2x+5

Here slope m-

  m=−1−2m=12

For slope m=12 the line perpendicular to line y=−2x+5 is of slope of 12x

By options only option E of slope 12x

So option E is correct.

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Chapter P.4, Problem 64E
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Chapter P.4, Problem 66E

Chapter P Solutions

PRECALCULUS:GRAPHICAL,...-NASTA ED.

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