are the lines y=-2\3x +2 and y=3/2x-2 parallel,perpendicular, or skew

Answer 1

They are Perpendicular because their slopes are opposite with Opposit signs.

m1 = -2/3 and m2 = 3/2.

If we Multiply-2/3*3/2 = -1 therefore they are Perpendicular

Answer 2

The equations:

y = (-2/3) x + 2

y = (+3/2) x - 2

are parallel if the products of their slopes is -1:

(-2/3)*(3/2) = (-2*3) / (3*2) = -1

They are parallel.