Coordinate Geometry - Length of a Line Segment

Coordinate Geometry - Length of a Line Segment

Secondary 3

The line \(2y = x - p\) passes through the point \(A(-2, 4)\) and crosses the \(x\)-axis at \(B\).

Find

  1. the value of \(p\),
  2. the coordinates of \(B\),
  3. the length of \(AB\). Leave your answer correct to \(3\) significant figures.

Solution:

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Answer:(i) \(p=-10\) (ii) \(B=(-10,0)\) (iii) \(AB=8.94\) units (3 s.f.).

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