(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

a. Find the equation of the tangent line to the graph of y=g(x) at x = 5 if g(5) = -3 and g'(5) = 4

b. If the tangent line to y = f(x) at (4,3) passes through the point (0,2), find f(4) and f'(4)

2. Relevant equations

y=mx =b

f(a+h)-f(a)

h

y – y1 = m(x – x1)

3. The attempt at a solution

So in a. I'm given a point (5, -3) but I'm not sure if we can find the equation right away or find the slope first. I also don't know what g'(5) = 4 has to do with the problem. Should I sketch them?

For b. I'm not even sure what I'm trying to find, a value? equation?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Equation of tagent line to the graph

**Physics Forums | Science Articles, Homework Help, Discussion**