Prove that the line PQ,with P(0;3) and Q(5;5),is parallel to the line 5y+5=2x

Answer 1

The slope of PQ is (5-3)/(5-0) = 2/5
That is also the slope of the given line.
So they are parallel.

Answer 2

y-y1=m(x-x1)
y-5=2/5(x-5)
y-5=2/5x-2
y=2/5x+3