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: 57

Answer

$y=\frac{1}{2} x+\frac{1}{2} $

Work Step by Step

First, we find the slope as follows $$ m=\frac{y_2-y_1}{x_2-x_1}=\frac{0-4}{-1-7}=\frac{-4}{-8}=\frac{1}{2} .$$ 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 $y$: $$y-0=\frac{1}{2} (x+1)\Longrightarrow y=\frac{1}{2} x+\frac{1}{2} .$$
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