Question

$x-y=0$ is a line which is

• A. parallel to x-axis
• B. parallel to y-axis
• C. passing through origin
• D. passing through (1, -1)

Answer 1

The correct option is C

passing through origin

Given equation x - y = 0
$\Rightarrow$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
$\Rightarrow$ $x-y=0$, is a line passing through the origin (0,0) and it divides the cartesian plane into two equal halves.