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Point slope for (3,21) and (6,12)

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\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 3}}\quad ,&{{ 21}})\quad % (c,d) &({{ 6}}\quad ,&{{ 12}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{12-21}{6-3}\implies \cfrac{9}{3}\implies 3 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-21=3(x-3)

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