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11 grade maths others

The graph of the equation of the form y=mx is a line which always passes through-

  • A. (0, m)
  • B. (x, 0)
  • C. (0, y)
  • D. (0, 0)

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10 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer10 Months ago

The equation of the form y = mx represents a straight line where 'm' is the slope. This line will always pass through a specific point regardless of the value of 'm'.

Key Point

The correct answer is (0, 0). This means that the line intersects the origin of the coordinate system.

Why This Happens

  • When x = 0, substituting into the equation gives y = m(0) = 0.
  • This confirms that the line always goes through the origin, which is the point (0, 0).

Therefore, the graph of the equation y = mx will always pass through the origin, making option D the right choice.