Question

What is the slope of the line passing through the points (-1, 7) and (4, -1)?

The multiple choice options are:

A: -2

B: -5/6

C: 2

D: -8/5

Answer 1

$\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-7}{4-(-1)}\implies \cfrac{-1-7}{4+1}\implies \cfrac{-8}{5}$