Answer:
q = 1.
Step-by-step explanation:
y = (1 - 2q)x - 1
The slope of this line is 1 - 2q.
(2 - q)y = x + 5
y = x / (2 - q) + 5/(2 - q)
The slope of this line is 1/ (2 - q).
When lines are perpendicular the slopes m1 and m2 have the relation
m1 .m2 = -1, so
(1 - 2q) * 1/ (2 - q) = -1
1 - 2q = -2 + q
-3q = -3
q = 1.
