SOLUTION: find the equation of the line tangent to the ellipse x^2+3y^2-x+2y=0 at the origin

Question 1024076: find the equation of the line tangent to the ellipse x^2+3y^2-x+2y=0 at the origin
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Since the tangent line to the ellipse passes through the origin, the line will have the form y = mx, where m is the slope of the line.
==> , after substitution
==> after simplifying...
For tangency, the discriminant
==> , or
, or m = -1/2.
Therefore the line tangent to the ellipse at (0,0) is y = -x/2.
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