# Find the slope of a line that is perpendicular to V(3, 2), W(8, 5)

Hugh Soto 2022-09-13 Answered
Find the slope of a line that is perpendicular to V(3, 2), W(8, 5)
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lloviznennj
The formula for find the slope of a line is:
$m=\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}$
Where $\left({x}_{1},{y}_{1}\right)$ and $\left({x}_{2},{y}_{2}\right)$ are two points on the line.
Substituting the values from the points in the problem gives:
$m=\frac{5-2}{8-3}=\frac{3}{5}$
Let's call the slope of a perpendicular line: ${m}_{p}$
The slope of a line perpendicular to a line with slope m is the negative inverse, or:
${m}_{p}=-\frac{1}{m}$
Substituting the slope for the line in the problem gives:
${m}_{p}=\frac{-1}{\frac{3}{5}}=-\frac{5}{3}$