Question

What is the slope of the line that contains the points (–5, 6) and (14, –7)?

Answer 1

$\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -5 &,& 6~) % (c,d) &&(~ 14 &,& -7~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-7-6}{14-(-5)}\implies \cfrac{-7-6}{14+5}\implies \cfrac{-13}{19}$