Question

What is the slope of the line that passes through the points left bracket, minus, 4, comma, 2, right bracket(−4,2) and left bracket, minus, 5, comma, 0, right bracket(−5,0)? Write your answer in simplest form.

Answer 1

`(\stackrel{x_1}{-4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{0}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{0}-\stackrel{y1}{2}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{(-4)}}} \implies \cfrac{ -2 }{-5 +4} \implies \cfrac{ -2 }{ -1 } \implies 2`