What is the slope of the line that passes through the points left bracket, 8, comma, minus, 6, right bracket(8,−6) and left bracket, 5, comma, minus, 1, right bracket(5,−1)? Write your answer in simplest form.
The slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula $m=\frac{y_2-y_1}{x_2-x_1}$. In this case, the points are $(8,-6)$ and $(5,-1)$, so the slope is $m=\frac{-1-(-6)}{5-8}=\frac{-1+6}{5-8}=\frac{5}{-3}=\boxed{-\frac{5}{3}}.$
