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Find the slope of a line perpendicular to given line - Show Work Please

y = -5/2x

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Nathan B. | Elementary and Algebraic skilledElementary and Algebraic skilled
5.0 5.0 (15 lesson ratings) (15)
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To find the perpendicular line, we find the negative inverse of the slope. That is,
If m = a/b, then ⊥m = -b/a
 
So first we flip it; that so far gives us -2/5
Then we also flip the signs. Since the sign is negative, that means it's now positive, giving us 2/5.