Question

Y=1/6x+1
Y=-6x+2
Is this perpendicular or parallel lines

Answer 1

y = 1/6x + 1
y = -6x + 2
1/6x + 1 = -6x + 2
+6x +6x
6 1/6x + 1 = 2
-1 -1
6 1/6x = 1
6/37 × 37/6x = 1 × 6/37
x = 6/37
y = -6(6/37) + 2
y = -36/37 + 2
y = 1 1/37
(x, y) = (6/37, 1 1/37)

Answer 2

Perpendicular.
Parallel lines will have the same slope (1/6 and 1/6 or -6 and -6)
Perpendicular lines will have opposite reciprocal slopes. (1/6 and -6)