Answer
$(0,0)$ and $(3,9)$
Work Step by Step
Since the line passes through the origin and has a slope of 3, an equation of the line is
$$ y= 3x$$
We set the parabola equal to the line and solve for $x$
$$
\begin{aligned}
x^2 & =3x \\
x^2-3x& =0\\
x(x-3)& =0 \\
x&=0 \quad \text { or } \quad x=3 \\
y&=0 \quad \text { or } \quad y=3(3)= 9 \\
\end{aligned}
$$
So the points are $(0,0)$ and $(3,9)$
See the graph.
