Please solve Which graph correctly represents the linear equ

Which graph correctly represents the linear equation -x - 6y = 3?

Solution

(a) represents the correct graph for the linear equation: -x-6y=3.

From the equation It can easily be verified that the point (-3,0) that is (x= -3,y=0) and

the point (0,-1\\2) that is (x=0,y= -1\\2) satisify the equation. Hence the graph of the equation must be a straight line passing through the above mentioned two point. Hence It is clear that graph (a) is the correct representation for the given linear equation.