Start by converting x - 3y = 6 into slope-intercept form: x - 3y = 6 Subtract x from both sides: -3y = -x + 6 Divide both sides by -3: y = (1/3)x - 2 Now compare both equations: y = (1/3)x - 2 y = 3x + 2 They don't share anything perpendicular or parallel equations would share, so therefore they are neither.