Question

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

Answer 1

The slope of the line is $-\frac{2}{3}$, and any line that is parallel to a line that has a slope of $-\frac{2}{3}$ always has the same slope because lines that are parallel always have the same slope.

Answer 2

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