Question

Or
A line that includes the points (5,q) and (2,0) has a slope of 0. What is the value of q?

Answer 1

`(\stackrel{x_1}{5}~,~\stackrel{y_1}{q})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{0}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{0}-\stackrel{y1}{q}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{5}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{ 0 }\implies \cfrac{-q}{-3}=0\implies \cfrac{q}{3}=0\implies q=0`