The notion of difference quotient

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Below you see the graph of the function $f(x)=\frac{1}{10}x^2+2$ and the tangent line $l$ to $f$ at the point $\rv{2,{{12}\over{5}}}$ . You can also see the line $m$ through $\rv{2, {{12}\over{5}}}$ and $\rv{3,{{29}\over{10}}}$ . Both points lie on the graph of $f$ .

generated image

Approximate the slope of the tangent line $l$ by calculating the slope of line $m$ .

The slope of the line $m$ through $\rv{2, {{12}\over{5}}}$ and $\rv{3, {{29}\over{10}}}$ is

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