Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 10 - Section 10.2 - Graphs of Linear Equations and Slope - Exercises - Page 458: 9

Answer

(a) The point $(4,-3)$ lies on the graph. (b) The point $(8,1)$ does not lie on the graph.

Work Step by Step

(a) We can verify if the point $(4,-3)$ satisfies the equation of the graph: $5x-4y = 5(4)-4(-3) = 20+12 = 32$ The point $(4,-3)$ lies on the graph. (b) We can verify if the point $(8,1)$ satisfies the equation of the graph: $5x-4y = 5(8)-4(1) = 40-4 = 36$ The point $(8,1)$ does not lie on the graph.
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