Coordinate Geometry - Parallel and Perpendicular Lines

Coordinate Geometry - Parallel and Perpendicular Lines

TGM Original Questions

The line \(\frac{x}{2} + \frac{y}{6} = 1\) cuts the \(x\)-axis at \(A\) and the \(y\)-axis at \(B\). Find

  1. the coordinate of \(A\) and of \(B\).
  2. the equation of the line that passes through the point \((4, -10)\) and is perpendicular to \(AB\).

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Answer:(a) \(A = (2,0); B = (0,6) \) (b) \(y = \frac{1}{3}x - \frac{34}{3}\)

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