Calculus tangent line

Question

Find an equation for the tangent line at the point P (2,f(2)) on the graph of

f(x) = x^2 - 2x +1

1. y - 2x - 5 = 0
2. y - 2x + 5 = 0
3. y - 2x + 3 = 0
4. y + 2x - 3 = 0
5. y + 2x + 3 = 0
6. y + 2x + 5 = 0

Answer 1

P = (2, 1)

f(x) = x² - 2x + 1

f'(x) = 2x - 2

f'(2) = 2

y = 2x + b

1 = 2(2) + b

1 = 4 + b

-3 = b

y = 2x - 3