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in Mathematics by (49.0k points)
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Which type of straight line will be the graph of x - y = 0?

(A) Parallel to x-axis

(B) Parallel to y-axis

(C) Passing through origin

(D) None of these

1 Answer

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Best answer

Correct option is (C) 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.

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