Question

What is the slope of a lone parallel to the line showing? (0,2)(3,0)

Answer 1

The slope would be the same as that line if they are parallel. The slope of that line is 2/3 because rise of 2 over run of 3.

Answer 2

Bearing in mind that parallel lines have the same exact slope, wait a minute, what is the slope of that line in the graph anyway?

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{0}) \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-2}{3-0}\implies \cfrac{-2}{3}$