Question

What is the slope of the line that contains the points (-4,3) and (6,-3)

Answer 1

$\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -4 &,& 3~) % (c,d) &&(~ 6 &,& -3~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-3-3}{6-(-4)}\implies \cfrac{-3-3}{6+4} \\\\\\ \cfrac{-6}{10}\implies -\cfrac{3}{5}$