Answer
$$ 3x-2y=2 $$
Work Step by Step
We put the equation is the form $y=mx+b$:
$$ 3y=-2x+6 \\ y=- \frac{2}{3}x+2$$
The slope is the opposite reciprocal, which is 1.5. Thus, it follows:
$$ y-5=1.5(x-4) \\ 2y-10=3(x-4) \\ 3x-2y=2 $$
Elementary Geometry for College Students (7th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Cengage
ISBN 10:
978-1-337-61408-5
ISBN 13:
978-1-33761-408-5
Chapter 10 - Section 10.4 - Analytic Proofs - Exercises - Page 473: 25
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