College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.2 - Graphs of Equations in Two Variables; Circles - 1.2 Exercises - Page 102: 10

Answer

$(-3,2)$ and $(0,1)$ are located on the graph. $(2,1)$ is not located on the graph.

Work Step by Step

$\textbf{To determine whether a point is on a line, simply plug the points back into the equation}$. When we plug in $(-3,2)$ and $(0,1)$ into the equation of $y=\sqrt{1-x}$ as $x$ and $y$ respectively, the equation works out, which indicates that the points are located on the graph. But when we plug in $(2,1)$ into the equation, the equation is not work out, which indicates that the point is not located on the graph.
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