Find an equation of the tangent line to the graph of f(x) at x=-3 if f(-3)=2 and f'(-3)=5
I am not coming up with the answer that the book gives and need help on the proper steps.
Thanks!

Question

Find an equation of the tangent line to the graph of f(x) at x=-3 if f(-3)=2 and f'(-3)=5
I am not coming up with the answer that the book gives and need help on the proper steps.
Thanks!

mertsj · Answer

When it tells you that f'(-3)=5 it is giving you the slope of the tangent line.  When it tells you that f(-3)=2 it is giving you a point on the tangent. So now you know the slope of the line and a point on the line.  Use point-slope form and find the equation of the line.

anonymous · Answer

@Mertsj 
I thanks, here is what I did wrong.
y-2=5x+3
= y=5x+5

Should have done it as:
y-2=5(x+3)
=y-2=5x+15
=y=5x+17

Pesky brackets will be my downfall.

mertsj · Answer

yep