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: 76

Answer

Therefore, the given statement does not make sense.

Work Step by Step

RECALL: The slope-intercept equation of a line is given as $y=mx+b$ where m = slope and b = y-intercept. The given equation $Ax+By =C$ can be written in slope-intercept form above by isolating $y$ on one side. Doing this gives: $By = -Ax + C \\y = \dfrac{-Ax+C}{B} \\y = -\dfrac{A}{B}x + \dfrac{C}{A}$ This equation has a slope of $-\dfrac{A}{B}$. Thus, the given equation has a slope of $-\dfrac{A}{B}$. Therefore, the given statement does not make sense.
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