College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.3 - Page 255: 77

Answer

The slope of the given line is $m=-\dfrac{A}{B}$ and its $y$-intercept is $\Big(0,\dfrac{C}{B}\Big)$

Work Step by Step

$Ax+By=C$ $;$ $B\ne0$ Rewrite this equation in the slope-intercept form of the equation of a line, which is $y=mx+b$, where $m$ is the slope of the line and $b$ is its $y$-intercept. Start by taking $Ax$ to the right side: $By=-Ax+C$ Take $B$ to divide the right side: $y=-\dfrac{A}{B}x+\dfrac{C}{B}$ The equation given is now in slope-intercept form, so it can be seen that $m=-\dfrac{A}{B}$ and $b=\dfrac{C}{B}$ The slope of the given line is $m=-\dfrac{A}{B}$ and its $y$-intercept is $\Big(0,\dfrac{C}{B}\Big)$
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