Can someone please check my answer

Question

anonymous · Answer

attachment

anonymous · Answer

I think the answer is choice E is that correct?

moonlitfate · Answer

I got D.  :)

moonlitfate · Answer

Is this for a Calculus class, by chance?

anonymous · Answer

yes

moonlitfate · Answer

Okay.  Well, let's start off at the beginning.  Do  you know how to take the derivative of that function?

anonymous · Answer

yup

moonlitfate · Answer

Okay!  Then you should all ready know that $$f'(x) = \frac{ -25 }{ (4x-3)^2 }$$

anonymous · Answer

yup

anonymous · Answer

I hate to interrupt but I have got to go sorry something came up

moonlitfate · Answer

So, to find the tangent line, the second to do is the find the slope of the line.  What you're to do is plug in the x-value of the point you were given in into f'(x), and the answer you get is the the slope of the line.

moonlitfate · Answer

It's all right.

moonlitfate · Answer

After that, you are going to use the slope (m), the given point, and the point-slope formula to find the equation of the line tangent to the graph at the given point. :) Hopefully, that makes sense.  If not, then let me know when you're back, and I can show you how it's done.