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Find the equation of the tangent line to k(x)=x2k(x) = x^2 at x=7x = 7.\newlineWrite your answer in point-slope form using integers and fractions. Simplify any fractions.\newliney−‾=‾(x−‾)y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})

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Q. Find the equation of the tangent line to k(x)=x2k(x) = x^2 at x=7x = 7.\newlineWrite your answer in point-slope form using integers and fractions. Simplify any fractions.\newliney−‾=‾(x−‾)y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
  1. Find Derivative of k(x)k(x): Find the derivative of k(x)=x2k(x) = x^2 to determine the slope of the tangent line at x=7x = 7.
  2. Identify Point on Curve: Identify the point on the curve k(x)=x2k(x) = x^2 where x=7x = 7.
  3. Write Tangent Line Equation: Write the equation of the tangent line using the point-slope form, y−y1=m(x−x1)y - y_1 = m(x - x_1), where mm is the slope and (x1,y1)(x_1, y_1) is the point on the curve.

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