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To find where cuts the -axis, Anil puts , gets , and writes the -intercept as 6. What went wrong?

Class 9Linear Equations in Two VariablesLinear Equations
  • ANothing — the -intercept is 6
  • BHe should put instead; the -intercept is 8
  • CHe should put instead; the -intercept is 6
  • DHe should put and together; the intercept is 0

Step-by-Step Solution

The -axis is the line , so set → , the point (8, 0). Anil actually found the -intercept 6 and mislabelled it — set the OTHER variable to zero.
Answer: B) He should put instead; the -intercept is 8

Key idea: Equations of the x-axis and y-axis

**-axis**: every point on the -axis has . So the -axis is the line **-axis**: every point on the -axis has . So the -axis is the line ****.

These are special cases of 'lines parallel to the axes' — except they ARE the axes themselves.

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