Solution: Find the slope of the ellipse x^2+4y^2–10x–16y+5=0

Problem Statement: CE Board May 1996

Find the slope of the ellipse x^2+4y^2–10x–16y+5=0 at the point where y=2+8^0.5 and x=7.

• A. -0.1463
• B. -0.1538
• C. -0.1654
• D. -0.1768

Problem Answer:

The slope of the ellipse is equal to -0.1768

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