Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 10 - Section 10.2 - Graphs of Linear Equations and Slope - Exercises - Page 450: 10

Answer

(a) The point $(6,2)$ does not lie on the graph. (b) The point $(-2,3)$ does not lie on the graph.

Work Step by Step

(a) We can verify if the point $(6,2)$ satisfies the equation of the graph: $3x-2y = 3(6)-2(2) = 18-4 = 14$ The point $(6,2)$ does not lie on the graph. (b) We can verify if the point $(-2,3)$ satisfies the equation of the graph: $3x-2y = 3(-2)-2(3) = -6-6 = -12$ The point $(-2,3)$ does not lie on the graph.
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