## College Algebra 7th Edition

$(0,1), (\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}})$ and $(\frac{\sqrt{3}}{2},\frac{1}{2})$ are located on the graph.
$\textbf{To determine whether a point is on a line,}$ $\textbf{simply plug the points back into the equation}$. 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.