Answer
Therefore, the equations of the asymptotes are $y=+x$ and $y=-x$ because the ratio of $\frac{b}{a}$ is equal to one.
Work Step by Step
$\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1$
The equation of the asymptote for the standard formula is,
$y=\pm \frac{b}{a}x$
Now, put $a=b$ in the above equation,
$\begin{align}
& y=\pm \frac{b}{b}x \\
& =\pm x
\end{align}$
Therefore, the equations of the asymptotes are $y=+x$ and $y=-x$ because the ratio of $\frac{b}{a}$ is equal to one.
