help on derivatives(slopes). Will post question and my solution.

Question

anonymous · Answer

Its asking for 2 equations...so 2 slopes?
anyway...

y = x^2 + x ; (2,-3)
y' = 2x + 1
m = 2x + 1
m = 2(2) + 1
m = 5


y - y1 = m(x-x1)
y + 3 = 5(x-2)
y = 5x - 10 - 3
y = 5x - 13   <-- (1)

But when i used (1) in my graphing calculator to double check, it is way off. why? and how would you get it.

anonymous · Answer

If 5 is really the slope of the first equation, would it be the smaller or the larger value?

anonymous · Answer

Sorry, I thought I knew but I don't :(

anonymous · Answer

tangent line is unique

anonymous · Answer

okay...

anonymous · Answer

What did your graph look like. Could you draw it?

anonymous · Answer

|dw:1350267510236:dw|

anonymous · Answer

Oh my bad. Check your original y coordinate. It doesn't work

anonymous · Answer

hmm |dw:1350267513084:dw|  my drawing is sumthing like ths