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## Homework Statement

Back for more questions. This section has been pretty tricky.

The graph of a folium with equation ##2x^3+2y^3-9xy=0## is given.

Find the equation for the tangent line at the pont ##(2,1)##

Find the equation of the normal line to the tangent line in the last question at the point (2,1).

## Homework Equations

## The Attempt at a Solution

From part a, the tangent line at the point ##(2,1)## is ##y=\frac{5}{4}x-\frac{3}{2}##

Now by "normal" line, I assume that the question is talking about the folium itself.

But since we're talking about the line

*at that point*, wouldn't the equation for the normal line at that exact point just be the tangent line? Otherwise, how could we determine how far out to choose our x values?