Question

What is the slope of the line that passes through the points (2,-6) and (6,-12)?

Answer 1

`(\stackrel{x_1}{2}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-12}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-12}-\stackrel{y1}{(-6)}}}{\underset{\textit{\large run}} {\underset{x_2}{6}-\underset{x_1}{2}}} \implies \cfrac{ -12 +6 }{ 4 } \implies \cfrac{ -6 }{ 4 } \implies -\cfrac{3}{2}`