# Find the slope that is perpendicular to the line 5x+2y=8

Find the slope that is perpendicular to the line 5x+2y=8
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Miah Scott
Rewrite the equation of the line in slope-intercept form, y=mx+b.
Subtract 5x from both sides:
2y=−5x+8
Divide both sides by 2:
$y=-\frac{5}{2}x+4$
Please observe that the slope, $m=-\frac{5}{2}$
The slope, n, of a perpendicular line will be:
$n=-\frac{1}{m}$
$n=-\frac{1}{-\frac{5}{2}}$
$n=\frac{2}{5}$