If the tangent line to y = f(x) at (5, 2) passes through the point (0, 1), find f(5) and f '(5). f(5) = 2 correct: your answer is correct. f '(5) = 2 incorrect: your answer is incorrect.
Seems you already figured out that f(5) = 2 so I won't go over that. When considering f'(5) you just need the slope. And since it gives you two points on the tangent line you simply need to use the slope formula y1-y2/x1-x2. That will get you 1/5. Hope this helps :)