Question

What is the slope of the line passing through (-3, 5) and (5, -3)?

1. Slope = -1
2. Slope = 1
3. Slope = 0
4. No slope

Answer 1

`\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-3}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-3-5}{5-(-3)}\implies \cfrac{-8}{5+3}\implies \cfrac{-8}{8}\implies -1`