Question 1153266: Please help me
If the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), find f(4) and f '(4).
f(4) =
f '(4) =
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!
given:
the tangent line to  at ( ,  ) passes through the point ( ,  )
find:  and  '
The question gives you already, because the point (, ) is given.
When  ,  .
We can find ' by finding the  at the point ,which we can do because we know the tangent touches both (,) and (,).
The gradient of a line is given by rise over run, or the change in  divided by the change in  , or
We know two points on the graph in the question,so effectively we know the two values we need for and each. Say that
(,)→ ,
(,)→ ,
so
 which is the gradient or '
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