Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - Chapter Review Exercises - Page 36: 20


$$ y=-\frac{3}{2}x-6$$

Work Step by Step

Since the slope is $-\frac{3}{2}$, the line equation is $$ y=-\frac{3}{2}x+c.$$ To find $ c $, we use the fact that the line passes through the point $(4,-12)$ $$-12=-\frac{3}{2}(4)+c\Longrightarrow c=-12+6=-6$$ Hence, the equation is $$ y=-\frac{3}{2}x-6$$
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