Determine whether the pair of lines is parallel perpendicula

Determine whether the pair of lines is parallel, perpendicular, or neither. {-3/2 x + y = 4 4x + 6y = 2

Solution

given -3/2 x + y =4 => y = 3/2 x + 4 -----------(1)

4x+6y =2 => y = - 2/3 x + 1/3 -----------(2)

(1) has slope m1 = 3/2

(2) has slope m2=-2/3

m1 = - 1/m2

therefore they are perpendicular