The following pairs of lines are parallel perpendicular or neither y equals 1/3 x + 4 3x + y equals 2

First, you must change the second one into slope-intercept form.

3x+y=2 subtract 3x from both sides and get y = - 3x + 2.

when finding a perpendicular slope, you find the inverse of the original slope. first, you flip the fraction (adding a / 1 if it isn't one) then switch the sign (multiply by - 1) thus, - 3x is the inverse of 1/3x, so it is perpendicular.