Question

What is the slope of a line with a vertical intercept of 6 and a horizontal intercept of -3?

Answer 1

Check the picture below.

$\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -3 &,& 0~) % (c,d) &&(~ 0 &,& 6~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-0}{0-(-3)}\implies \cfrac{6-0}{0+3}\implies \cfrac{6}{3}\implies 2$