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 2.4 - Linear Functions and Slope - Exercise Set - Page 155: 115

Answer

The given statement is true.

Work Step by Step

The given linear function is $ 5x+6y=30 $ ... (1) The standard $ y- $ intercept form is $ y=mx+c $ Isolate the $ y $ in equation (1). $ y=-\frac{5}{6}x+\frac{30}{6} $ Where, the slope is $ m= -\frac{5}{6}$. It is true If the line passing through the point $ (6,0) $. then it must satisfy the linear function plug the point into equation (1). $ 5(6)+6(0)=30 $ $ 30+0=30 $ $ 30=30 $ True.
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