Question

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?

Answer 1

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.