Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN: 9781337111348
Author: Bruce Crauder, Benny Evans, Alan Noell
Publisher: Cengage Learning
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Find the equation of a line passing through point (3,-2) and perpendicular to the line 2x + 3y + 4-0.
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Transcribed Image Text:Find the equation of a line passing through point (3,-2) and perpendicular to the line 2x + 3y + 4-0.
Expert Solution
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Step 1

To find slope of the given line, we express it in a standard form, y = mx + c, we get:

Geometry homework question answer, Step 1, Image 1
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Step 2

Comparing the equation obtained above with the standard form, we get:

Geometry homework question answer, Step 2, Image 1
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Step 3

If m1 and m2 are the slopes of two lines that are perpendicular to each other, then we have, m1* m2 = -1. Here, let m1 be the slope obtained above, then m1 = -2/3. Solving for m2, we get:

Geometry homework question answer, Step 3, Image 1
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