Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.2 Linear Functions and Their Graphs - Exercise Set 7.2 - Page 430: 53

Answer

\[m=-\frac{A}{B};b=\frac{C}{B}\].

Work Step by Step

The slope-intercept form of the equation of non-vertical line with slope m and y-intercept b is \[y=mx+b\]. So, The equation \[Ax+By=C\] can written as: \[\begin{align} & By=-Ax+C \\ & y=-\frac{A}{B}x+\frac{C}{B} \\ \end{align}\] Here, x-coefficient is the line’s slope, \[m=-\frac{A}{B}\]. The constant term is the y-intercept, \[b=\frac{C}{B}\].
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