Question

Write an equation of the line in slope intercept form that pass through the two

Answer 1

$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -2}}\quad ,&{{ 15}})\quad % (c,d) &({{ 9}}\quad ,&{{ -18}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-18-15}{9-(-2)}\implies \cfrac{-18-15}{9+2} \\\\\\ \cfrac{-33}{11}\implies -3$

$\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-15=-3[x-(-2)] \\\\\\ y-15=-3(x+2)\implies y-15=-3x-6\implies y=-3x+9$