Step-by-step explanation:
first let's bring the equation into "normal" form :
x - 2y = 2
-2y = 2 - x
2y = x - 2
y = x/2 - 1
so, the slope of this line is 1/2 (the factor of x - that is always the case in all lines).
a parallel line must have the same slope, of course.
so, its equation is
y = x/2 + b
now, b will be different to the -1 of the original equation, or the lines are identical.
it is the point of interception of the line through the y-axis (x = 0).
we get this by using the coordinates of the given point (4, -3).
so,
-3 = 4/2 + b = 2 + b
b = -5
therefore, the formula for the parallel line is
y = x/2 - 5
