Question

line in the Cartesian plane passes through the points (1, 3) and (5, 4). What is the slope of the line?

Answer 1

$\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 1 &,& 3~) % (c,d) &&(~ 5 &,& 4~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-3}{5-1}\implies \cfrac{1}{4}$