Question

Find the slope of the line that passes through (5, 1) and (10, 9). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

`(\stackrel{x_1}{5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{9}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{9}-\stackrel{y1}{1}}}{\underset{\textit{\large run}} {\underset{x_2}{10}-\underset{x_1}{5}}} \implies \cfrac{ 8 }{ 5 }`