yup.
≡ a(2x+y) + c (y+2) = 0
Ques) If a,b,c are in A.P, then ax +by +c =0 represents :
(a)a straight line (b) a family of concurrent lines
(c) a family of parallel lines (d) none of these
a,b,c are in AP
so we have a+c=2b
or a-2b+c=0
comparing with this the equation we get
we get x=1 and y=-2
so it is a equation passing through point(1,-2)