Derivative + tangent line, so confused, please HELP!!

[ihatecalc]

i am in BC calc, using the ostebee & zorn book. and i am soo confused! please help me if you can!

okay.. well, it gives a graph of f', but not of f. no equations are given.

the questions are:

a) suppose that f(1) = 5. find an equation of the line tangent to the graph of f at (1,5)

b) suppose that f(-3) = -6. find an equation of the line tangent to the graph of f at (-3, -6)

PLEASE help me!!!

 

[tkhunny]

1) Look at the graph of f'(x).
2) Estimate the value at x = 1 -- Call this value 'm'.
3) Write down the equation of the tangent line: y-5 = m(x-1)

You should remember the point-slope form from algebra.