Given f(2)=4 and f'(2)=-5 find the equation of the tangent line at x=2

Question

bahrom7893 · Answer

y - 2 = -5(x-4)

bahrom7893 · Answer

Slope is the tangent line which is the first derivative..

anonymous · Answer

shouldnt you switch the 2 and the 4?

anonymous · Answer

please show working lol thanks

bahrom7893 · Answer

oh yea sorry...

anonymous · Answer

or am i tired?

myininaya · Answer

y=mx+b
m=f'(2)=-5
y=-5x+b
x=2
y=4
4=-5*2+b
14=b
so y=-5x+14

bahrom7893 · Answer

you're right joemath lol i just woke up haha..

anonymous · Answer

because your crazy smart you made me second guess myself lolol

anonymous · Answer

thanks joe! myininaya and bahroom!

bahrom7893 · Answer

Here's the deal purple:
f ' (x) = slope
f ( x ) = y
So you have a point:
(x,y); in your case (2,4)
slope, m = f ' (2) = -5
y-y1 = M(x-x1)
y-4=-5(x-2)

anonymous · Answer

and bahrom* go get some cofee thanks

bahrom7893 · Answer

lol haha.. i will..

anonymous · Answer

LOL

myininaya · Answer

i want a java chip frapaccino so bad!

anonymous · Answer

lol...myinaya i could use a  caramel frap from starbucks

myininaya · Answer

you need to try the java chip

anonymous · Answer

i can never remember the name of what i get, i add peppermint to it though <.<

anonymous · Answer

lol...java chip probably isnt in my area im out guys thanks for your help!

myininaya · Answer

later