Elementary Technical Mathematics

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

Chapter 8 - Section 8.4 - The Equation of a Line - Exercises - Page 315: 56

Answer

$y=x$

Work Step by Step

First, we find the slope as follows $$ m=\frac{y_2-y_1}{x_2-x_1}=\frac{-2-5}{-2-5}=\frac{-7}{-7}=1 .$$ The point-slope form of a line is given as: $$y-y_1=m(x-x_1)$$ We plug in the given point and slope and solve for $y$: $$y-5=1 (x-5)\Longrightarrow y=x .$$
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