Y equals 5-2x and 2y plus x equals 1 are the lines perpendicular?

Answer 1

Solve both equations for y in terms of x:

y = (-2)x+5

y = (-1/2)x+1/2

Multiply the slopes together:

(-2) X (-1/2) = 1

In order for the lines to be perpendicular, the product of the slopes would have had to equal -1, but it equals 1, so they're not perpendicular.