Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 0 - Section 0.7 - The Coordinate Plane - Exercises - Page 38: 6

Answer

Graph of given equation $y - x = -1$ is a straight line as sketched-

Work Step by Step

Given equation- $y - x = -1$ To sketch graph of this equation, first we will find three points on it as following- Substituting $x = 1$ in given equation- $y - 1 = -1$ OR $ y = -1+1 = 0$ Hence a point $P (1, 0)$ lies on the line. Now Substituting $x = 0$ in given equation- $y - 0 = -1$ OR $ y = -1$ Hence another point $Q (0, -1)$ also lies on the line. Now Substituting $x = 2$ in given equation- $y - 2 = -1$ OR $ y = -1+2 = 1$ Hence another point $R (2, 1)$ also lies on the line. Now we will mark the points $P, Q $ and $R$ on the graph paper and join these points to get the graph of given equation $y - x = -1$
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