The graph of the equation ax +by+c=0 will pass through the origin if

a) a=0

b) b=0

C) a=b

d) c=0

Given equation is: 

ax +by+c=0 

Now, if the graph of the equation passes through origin then (x, y) = (0, 0).

On putting (x, y) = (0, 0) in above equation, we get

a(0) + b(0) + c = 0

⇒ 0 + c = 0

⇒ c = 0