How do you find the equation for tangent line to #f(x) = (x-1)^2# at the point where x = 2? Calculus Derivatives Tangent Line to a Curve 1 Answer Dean R. Apr 23, 2018 #y = 2x -3# Explanation: #f'(x) = 2 (x-1)# #m = f'(2) = 2# #y = mx + b = 2x + b# #f(2) = 2 f'(2) + b# #1 = 2(2) + b# #b = -3# #y = 2x -3# Answer link Related questions How do you find the equation of a tangent line to a curve? How do you find the slope of the tangent line to a curve at a point? How do you find the tangent line to the curve #y=x^3-9x# at the point where #x=1#? How do you know if a line is tangent to a curve? How do you show a line is a tangent to a curve? How do you find the Tangent line to a curve by implicit differentiation? What is the slope of a line tangent to the curve #3y^2-2x^2=1#? How does tangent slope relate to the slope of a line? What is the slope of a horizontal tangent line? How do you find the slope of a tangent line using secant lines? See all questions in Tangent Line to a Curve Impact of this question 1210 views around the world You can reuse this answer Creative Commons License