Find equation of line tangent to the hyperbola at the point

I can't see where the y-intercept comes from... so the equation is

I don't where to go from finding the slope, do I just keep plugging in points for ?????

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- Apr 30th 2012, 12:34 PMFoxlionEquation of tangent line
Find equation of line tangent to the hyperbola at the point

I can't see where the y-intercept comes from... so the equation is

I don't where to go from finding the slope, do I just keep plugging in points for ????? - Apr 30th 2012, 12:38 PMearbothRe: Equation of tangent line
- Apr 30th 2012, 12:39 PMMathoManRe: Equation of tangent line
and can be found using the condition that the point belongs to that tangent line. Use the coordinates of that point instead of x and y in and you will get .

- Apr 30th 2012, 12:40 PMMathoManRe: Equation of tangent line
Earboth beat me to it. :D

- Apr 30th 2012, 12:43 PMFoxlionRe: Equation of tangent line
- Apr 30th 2012, 12:45 PMHallsofIvyRe: Equation of tangent line
Are you saying that earboth and mathoman were just wasting their time responding to your post?

- Apr 30th 2012, 01:19 PMFoxlionRe: Equation of tangent line