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: 48

Answer

$y=-\frac{3}{7}x+\frac{47}{7}$

Work Step by Step

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 $y$: $$y-5=-\frac{3}{7}(x-4)\Longrightarrow y=-\frac{3}{7}x+\frac{12}{7}+5=-\frac{3}{7}x+\frac{47}{7} .$$
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