Sure,
you need either 2 points,
which you don't have here,
or a point and the line slope to write the equation of a line.
You are given a clue to find the slope.
4x+4y=8 can be arranged to y=mx+c form, where m is the slope.
The slope is called m as it is the multiplier of x in the equation y=mx+c
Parallel lines have equal slope.
4y=-4x+8
y=-x+2
Slope is -1 for both lines.
\(\displaystyle -1=\frac{y-y_1}{x-x_1}=\frac{y-3}{x-(-2)}=\frac{y-3}{x+2}\)
\(\displaystyle -(x+2)=y-3\)
\(\displaystyle y=-x-2+3=1-x\)