Solving for f'(2) & f(2): A Tangent Line Challenge

[schleiz]

Homework Statement

suppose y=2x-3 is an en equation of the tangent line to the graph of y=f(x) at the point where x=2. find the value of f'(2) and f(2).

Homework Equations

I know how to get the tangent line, but this wording throws me off. a little help at how to solve f(2) and f'(2).

The Attempt at a Solution

I have attempted and failed.

 

[NateTG]

What does tangent mean?

 

[flora]

since y=2x-3 is an en equation of the tangent line to the graph of y=f(x) at the point where x=2 , f'(2) equals to slope of the tangent line (2)
you can find f(2) easily by drawing a graphic.

 

[naaa00]

suppose you want to kiss somebody, but must do something at some point. You kiss this person only if you are at that point. How would you graph this?

 

[HallsofIvy]

suppose you want to kiss somebody, but must do something at some point. You kiss this person only if you are at that point. How would you graph this?

Oh, I like that!

 

[ArcanaNoir]

Why would someone answer a post this old?

 

[SammyS]

Well, naaa00 is a newby.

Beyond that, it appears that HoF got a real kick out of naaa00's post, so it was well worthwhile for naaa00 to post in this old thread. (IMO)