Question

Find the slope of the line that contains the points (6, -2) and (-3, 7)

Answer 1

$\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 6 &,& -2~) % (c,d) &&(~-3 &,& 7~) \end{array} \\\\\\ % slope = m slope \implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{7-(-2)}{-3-6}\implies \cfrac{7+2}{-3-6}\implies \cfrac{9}{-9}\implies -1$