Answer
\begin{align*}
\text{$x$-intercept: }&
(0, 0)
\\
\text{$y$-intercept: }&
(0, 0)
\end{align*}
Work Step by Step
To find the $x$-intercept of the given equation, $
y=6x
,$ substitute $y=0$ and then solve for $x.$ That is,
\begin{align*}
0&=6x
\\\\
\dfrac{0}{6}&=\dfrac{6x}{6}
\\\\
0&=x
\\
x&=0
\end{align*}
To find the $y$-intercept of the given equation, substitute $x=0$ and then solve for $y.$ That is,
\begin{align*}
y&=6(0)
\\
y&=0
\end{align*}
Hence, the intercepts of the given equation are
\begin{align*}
\text{$x$-intercept: }&
(0, 0)
\\
\text{$y$-intercept: }&
(0, 0)
\end{align*}
