Question:

The point \((3, -5)\) lies on the line \(mx - y = 11\). The value of \(m\) is

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To find a variable in a line equation, plug in the coordinates of a point lying on the line.
Updated On: May 20, 2025
  • 3
  • -2
  • -8
  • 2
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The Correct Option is B

Solution and Explanation

Substitute \(x = 3\), \(y = -5\) into the line equation: \[ mx - y = 11 \Rightarrow m \cdot 3 - (-5) = 11 \Rightarrow 3m + 5 = 11 \Rightarrow 3m = 6 \Rightarrow m = -2 \]
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