At what point is $y=5x+965$ to the graph of $y=2x^3-3x^2-247x-7$? Here is the question:

The line $y=5x+965$ is tangent to the graph of $y=2x^3-3x^2-247x-7$ at the point...?

Anytime I am trying to plot the graph I end up with a line that's basically attached to the $y$-axis.
Can anyone help?

You have the two lines $$y=5x+965$$ and $$y=2x^3-3x^2-247x-7$$
Since you are trying to find where they intersect, you can substitute the right hand side of the second equation for the $y$ in the first equation. You get $$5x+965=2x^3-3x^2-247x-7$$ which simplifies to $$2x^3-3x^2-252x-972$$
You can factor this into $$(x+6)^2(2x-27)=0$$
The roots are $x=-6$ and $x=13.5$, and substituting them into the first you get $(-6, 935)$ and $(13.5, 1032.5)$ as the points of intersection.
