First isolate y for the given equation
4x - 2y = 10 Subtract 4x on both sides
-2y = 10 - 4x Divide -2 on both sides
y = -5 + 2x
For the equation of a line to be parallel to the given equation, the slopes have to be the SAME. The slope of the given equation is 2, so the slope of the parallel line is also 2.
y = mx + b
y = 2x + b
To find b, you plug in the point (4,4) into the equation
y = 2x + b
4 = 2(4) + b
4 = 8 + b
-4 = b
Your equation is:
y = 2x - 4