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.

Step 1. Solve the equation for x
Step 2. Find the intersection
Step 3. Find the union -> x = - 8/3
Step 4. The equation has 2 solutions
x1 = -8/3
x2= 16/3