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offguard

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

[tex]\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}[/tex]

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