Prompt #$1$; Consider the function $f(x)=x^2-5x3.$ Use the method outlined on this slide to determine the slope$-$intercept form of the equation of the tangent line to the graph of $y=f(x)$ at $x=7.$

Question #$1($a$)$: What is the value of $x_0?$

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Question #$1($b$)$: What is the value of the slope $m$ of the tangent line?

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Question #$1($c$)$: What is the value of the $y$ intercept $b$ of the tangent line?

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Question #$1($d$)$: What is the slope$-$intercept form of the equation of the tangent line?

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Prompt #$2$; Consider the function $f(x)=x^{2}8x-4.$ Use the method outlined on this slide to determine the slope$-$intercept form of the equation of the tangent line to the graph of $y=f(x)$ at $x=7.$

Question #$2($a$)$: What is the value of $x_0?$

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Question #$2($b$)$: What is the value of $f(x_0)?$

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Question #$2($c$)$: What is the value of $f^{\text{'}}(x_0)?$

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Question #$2($d$)$: What is the slope$-$intercept form of the equation of the tangent line?

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