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## Homework Statement

Find the line passing through the point (0,-18) and tangent to the curve y=x^3-2 at some point.

## Homework Equations

y=mx+b

## The Attempt at a Solution

Well, I know the derivative is 3x^2, and that should be the slope of the line at the point of tangency. I'm just not sure how to find out what point the curve shares with the line! I know that seems like a pretty bad attempt at a solution, I just need a hint about where to start with this one.