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What is the slope of the line passing through points A(−18,24) and B(16,−8)? Enter your answer as a ratio, in simplest form, like this: 42/53
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What is the slope of the line passing through points A(−18,24) and B(16,−8)?

Enter your answer as a ratio, in simplest form, like this: 42/53

User Eli Ganem
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1 Answer

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\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) A&({{ -18}}\quad ,&{{ 24}})\quad % (c,d) B&({{ 16}}\quad ,&{{ -8}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-8-24}{16-(-18)}\implies \cfrac{-8-24}{16+18} \\\\\\ \cfrac{-32}{34}\implies -\cfrac{16}{17}
User Jaybeecave
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