Determine whether the lines are parallel, perpendicular or neither.

Question

2-3x=2y

-2x+3y=6

Answer 1

2 - 3x = 2y

 

-2x + 3y = 6

 

turn both equations above to slope intercept form:

 

2 - 3x = 2y  ---->(-3/2)x + 1 =y          slope m₁: -3/2

 

-2x + 3y = 6 -----> -2x - 6 = -3y ------> (2/3)x + 2 = y          slope m₂: 2/3

 

perpendicular since m₂ = -1/m₁