Question

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

Answer 1

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