If the tangent line to the graph of the funtion f(x) at the point (1,7) passes through the point (-2,2), then what is f'(x)?

Question

anonymous · Answer

find the slope of that line
i assume it means 
what is 
$$f'(1)$$

anonymous · Answer

you cannot know 
$$f'(x)$$ unless you know 
$$f(x)$$ but 
$$f'(1)$$ will be  your slope

anonymous · Answer

so is it 5/3?

anonymous · Answer

yes
again that is if you were asked for 
$$f'(1)$$

anonymous · Answer

oh shoot, i thought i put f'(1). hahaha. thanks satellite73!

anonymous · Answer

i got the answer from just getting the slope of the two points. i need to show work though. can you help me?

anonymous · Answer

show the work for finding the slope?

anonymous · Answer

you can do it with your eyeballs, over 3 up 5 slope is 
$$\frac{5}{3}$$ like you already said.  that is all the work.  however you computed the slope, write that down and you are done

anonymous · Answer

something like 
$$f'(1)=\frac{7-2}{1+2}=\frac{5}{3}$$

anonymous · Answer

hahaha, i just expected the question to have lots of work to be shown. thanks again!