Question

What is the slope of the line that passes through the points left bracket, 0, comma, minus, 10, right bracket(0,−10) and left bracket, minus, 4, comma, minus, 11, right bracket(−4,−11)? Write your answer in simplest form.

Answer 1

`(\stackrel{x_1}{0}~,~\stackrel{y_1}{-10})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-11}-\stackrel{y1}{(-10)}}}{\underset{\textit{\large run}} {\underset{x_2}{-4}-\underset{x_1}{0}}} \implies \cfrac{ -11 +10 }{ -4 } \implies \cfrac{ -1 }{ -4 } \implies \cfrac{1}{4}`