The line contains the point Q(1,-2) , therefore:
(x1, y1) = (1, -2)
And this parallel to the line whose equation is
y-4=2/3(x-3)
Since they are parallel, they have the same slope, so:
m = 2/3
Using the point slope equation:
y - y1 = m(x-x1)
y -(-2) = 2/3(x - 1)
y + 2= 2x/3 - 2/3
Rewrite the equation in the standard form:
2x/3 - y = 8/3