# Find the slope of a line perpendicular to the graph of each equation y=x/(−5)−7

Find the slope of a line perpendicular to the graph of each equation $y=\frac{x}{-5}-7$
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If you have a line with slope equal to m the perpendicular will have slope ${m}_{1}=-\frac{1}{m}$;
Your line has slope $m=-\frac{1}{5}$ (the coefficient of x) so the perpendicular will be:
${m}_{1}=-\frac{1}{-\frac{1}{5}}=5$