Is 2x - y = 5 and -1/2x + y = 3 perpendicular?

They are not perpendicular.

Hello from MrBillDoesMath!

the lines are not perpendicular (as stated by another writer)

Steps:

Rewrite the first line (2x -y = 5)  as    y =  2x -5.  So it's slope, m1, is "2"

Rewrite the second line ( -1/2x + y =3 ) as  y = +1/2x + 3. So it's slope, m2, is +1/2.

Two lines are perpendicular if m1 * m2 = -1 which is NOT the case here (For us, m1 * m2  = 2 * (+1/2) =  + 1 which is not -1. As they say, "close, but no cigar!)

Regards,  MrB

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.