Is y = - (1/3) x+2 perpendicular, parallel, or neither?

Is y-11=3 (x-6) perpendicular, parallel, or neither?

Is y = (1/3) x-15 perpendicular, parallel, or neither?

For the equation of line 1:

y = - (1/3) + 2

It has a slope of m = - 1/3

For line 2:

y - 11 = 3 (x - 6)

y = 3x - 7

It has a slope of m = 3

For line 3:

y = (1/3) x - 15

It has a slope of m = 1/3

Line 1 and Line 2 are perpendicular since their slopes are negative reciprocal of each other. Any other combinations are neither parallel nor perpendicular.