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Sahil says: 'The equation , when drawn on the number line, is a single point; but on the Cartesian plane it is a whole line.'
Which statement correctly explains why?

Class 9Lines Parallel to the AxesLinear Equations
  • AOn the plane is free to take any value, giving infinitely many points (4, )
  • BOn the plane must also vary, giving a slanted line
  • COn the plane has no solution
  • DOn the number line is also a line

Step-by-Step Solution

As a one-variable equation, fixes a single point on the number line. As a two-variable equation, only is fixed (=4) while is unrestricted, producing all points (4, ), i.e. a vertical line.
Answer: A) On the plane is free to take any value, giving infinitely many points (4, )

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