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: 14


$(0,1), (\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}})$ and $(\frac{\sqrt{3}}{2},\frac{1}{2})$ are located on the graph.

Work Step by Step

$\textbf{To determine whether a point is on a line,}$ $\textbf{simply plug the points back into the equation}$. When we plug in $(0,1), (\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}})$ and $(\frac{\sqrt{3}}{2},\frac{1}{2})$ into the equation of $x^2+y^2=1$ as $x$ and $y$ respectively, the equation works out, which indicates that the points are located on the graph.
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