It must have the same slope as the given line, so
m = -A/B = -1/-2 = 1/2
So far, we have
y = mx + b = x/2 + b
Use the given point to find b.
4 = -2/2 + b = -1 + b
b = 5
y = x/2 + 5
Multiply through by 2.
2y = x + 10
Standard form:
x - 2y = -10