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

Question

y = -5/2x

Answer 1

When it's perpendicular the slope is opposite reciprocal, so this one goes from the original of -5/2 to +2/5!

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

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.