Estimate the slope of the tangent line (rate of change) to f(x)=x2\displaystyle {f{{\left({x}\right)}}}={x}^{{2}} at x=−2\displaystyle {x}=-{2} by finding slopes of secant lines through (−2,4)\displaystyle {\left(-{2},{4}\right)} and each of the following points on the graph of f(x)=x2\displaystyle {f{{\left({x}\right)}}}={x}^{{2}}
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  1. (−1,1)\displaystyle {\left(-{1},{1}\right)}
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    secant slope, msec⁡=\displaystyle {m}_{{{\sec}}}=

  2. (−1.5,2.25)\displaystyle {\left(-{1.5},{2.25}\right)}
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    secant slope, msec⁡=\displaystyle {m}_{{{\sec}}}=

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