Because k is constant.. Suppose if x or y=0.. one of the coordinate on the basis of given equation will be o(0,0) .. So the line joining different coordinates of eqn.. will pass through origin....

Explanation:

Why y=kx always passes through the origin?
• In the equation y=kx, the constant k represents the slope of the line. When k=0, the line becomes horizontal passing through the origin (0,0).
• When x=0, the equation simplifies to y=0, which means that the line passes through the y-axis at the origin.
• Since the origin is the point (0,0) on a graph where both x and y coordinates are zero, any equation in the form y=kx will always pass through the origin.
• This is because when x=0, y must also equal 0 in order to satisfy the equation y=kx.

Mathematical Explanation:
• Substituting x=0 into the equation y=kx gives y=k(0), which simplifies to y=0.
• Therefore, when x=0, y must also equal 0 for the equation y=kx to hold true, resulting in the line passing through the origin.
• The origin serves as a reference point on the coordinate plane, making it a crucial point of intersection for lines represented by equations in the form y=kx.

Conclusion:
• In conclusion, the equation y=kx always passes through the origin because when x=0, y must also equal 0 to satisfy the equation. This fundamental property of lines in the form y=kx is essential in understanding linear relationships in mathematics.