Question

Please help! I thought I knew the full answer but I guess not.

Answer 1

$\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{24})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{-53}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-53-24}{7-(-4)}\implies \cfrac{-77}{7+4}\implies \cfrac{-77}{11}\implies -7 \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-24=-7[x-(-4)]\implies y-24=-7(x+4)$