Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 8 - Review - Page 317: 42

Answer

$$ y=\frac{1}{2}x-6.$$

Work Step by Step

We find the slope first as follows $$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-5-0}{2-12}=\frac{1}{2}.$$ We know that the point-slope form of a line is given as: $y-y_1=m(x-x_1)$, where $m$ is the slope and $(x_1,y_1)$ is the point. We plug in the given slope and point and solve for $y$: $$y-0=\frac{1}{2}(x-12)\Longrightarrow y=\frac{1}{2}x-6.$$
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