herraviuj

2022-10-08

Find the slope that is perpendicular to the line $y=\frac{3}{5}x-8$

tiepidolu

Beginner2022-10-09Added 8 answers

If a line has a slope of m then all lines perpendicular to it have a slope of $-\frac{1}{m}$

$y={\frac{3}{5}}x-8$ is in slope-intercept form with a slope of $m=\frac{3}{5}$

Therefore any line perpendicular to $y=\frac{3}{5}x-8$ has a slope of:

$\text{XXX}}-\frac{1}{\frac{3}{5}}=-\frac{5}{3$

$y={\frac{3}{5}}x-8$ is in slope-intercept form with a slope of $m=\frac{3}{5}$

Therefore any line perpendicular to $y=\frac{3}{5}x-8$ has a slope of:

$\text{XXX}}-\frac{1}{\frac{3}{5}}=-\frac{5}{3$

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