Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.5 - Equations of Lines - Exercise Set - Page 175: 97

Answer

Substitute the given points in the given equation and check if the left side of the equation is equal to the right side of the equation. If both sides are equal, then the graph passes through the given point.

Work Step by Step

Substitute the given points in the given equation and check if the left side of the equation is equal to the right side of the equation. If both sides are equal, then the graph passes through the given point. With the given point, $(1.4,-1.05)$ and the given equation, $2x-4y=7,$ then, \begin{array}{l}\require{cancel} 2(1.4)-4(-1.05)=7 \\\\ 2.8+4.2=7 \\\\ 7=7 \text{ (TRUE)} .\end{array} Hence, the graph passes through $(1.4,-1.05).$ With the given point, $(0,-1.75)$ and the given equation, $2x-4y=7,$ then, \begin{array}{l}\require{cancel} 2(0)-4(-1.75)=7 \\\\ 0+7=7 \\\\ 7=7 \text{ (TRUE)} .\end{array} Hence, the graph passes through $(0,-1.75).$
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