SOLUTION: 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) =

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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