x−y=0 is a line which is
passing through origin
Given equation x - y = 0
⇒y = x
Each solution (x, y) is a point lying on the line represented by this equation, and it satisfies the equation.
Let's choose a value for x and find the corresponding value of y.
If x = 1, then y = 1
If x = -1, then y = -1
If x = 0, then y = 0
⇒ x−y=0, is a line passing through the origin (0,0) and it divides the cartesian plane into two equal halves.