Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 2 - Section 2.5 - The Point-Slope Form of the Equation of a Line - Exercise Set - Page 164: 65



Work Step by Step

The general slope-intercept form of a line is: $y=mx+b$, where $m$ is the slope, and $(x,y)$ can be the coordinates of any point on the line. Hence I express $y$: $Ax+By=C\\By=C-Ax\\y=\frac{C}{B}-\frac{A}{B}x$ Thus the slope of the line is $m=-\frac{A}{B}$, which is the slope of all parallel lines to this line.
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