Question

What is the slope of a line that passes through (6,24) and the origin? show work

A.m=4
B.m=0
C.m=1/4
D. undefined

Answer 1

`(\stackrel{x_1}{6}~,~\stackrel{y_1}{24})\qquad \stackrel{origin}{(\stackrel{x_2}{0}~,~\stackrel{y_2}{0})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{24}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{6}}}\implies \cfrac{-24}{-6}\implies 4`