Question

What is the slope of the line through point (2/3, 4/7) and (2/3, 11/7)

Answer 1

$\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ \frac{2}{3} &,& \frac{4}{7}~) % (c,d) &&(~ \frac{2}{3} &,& \frac{11}{7}~) \end{array} \\\\\\ % slope = m slope \implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{\frac{11}{7}-\frac{4}{7}}{\frac{2}{3}-\frac{2}{3}}\implies \cfrac{\frac{7}{7}}{0}\implies \cfrac{1}{0}\impliedby un de fined$