# Thread: Somewhere i did mistake...

1. ## Somewhere i did mistake...

Fin equation of the tangent line at the given value of x on the curve.
2xy - 2x + y = -14, x = 2
This is what i try.==>
2y + 2xdy - 2 + dy = 0
2*2y-2*2+y = -14
5y=-10
y=-2
2*(-2) +2*2dy -2 + dy = 0
5dy = 6
dy=5/6
But this isnt answer what i need?

2. Originally Posted by ArmiAldi
5dy = 6
So $\displaystyle \frac{dy}{dx}=\frac{6}{5}$

3. ## that was just typing mistake

Thats correct, i did typing mistake, but answer need to be one of these:
1. y = (6/5)x - 22/5
2. y = (5/6)x - 22/6
3. y = -(6/5)x + 22/5
4. y = -(5/6)x + 22/6
my guess is answer # 3
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