Step 1: Identify the function given, which is f(x) = x^2 - 2x + 1.
Step 2: Find the derivative of the function, which represents the slope of the tangent line. The derivative f'(x) is calculated as follows: f'(x) = 2x - 2.
Step 3: Substitute x = 1 into the derivative to find the slope at that point. So, calculate f'(1) = 2(1) - 2.
