Find the equation of the tangent line to \( g(x)=x^{2} \) at \( x=4 \).
Write your answer in point-slope form using integers and fractions. Simplify any fractions.
\[
y-\square=\square(x-\square)
\]

Answer

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Answer

Use point-slope form, \( y-y_{1}=m(x-x_{1}) \), with \( x_{1}=4 \), \( y_{1}=16 \), and \( m=8 \).

Steps

Step 1 ：Find \( g'(x) \) by taking the derivative of \( g(x)=x^{2} \).

Step 2 ：Evaluate \( g'(4) \) and \( g(4) \).

Step 3 ：Use point-slope form, \( y-y_{1}=m(x-x_{1}) \), with \( x_{1}=4 \), \( y_{1}=16 \), and \( m=8 \).