Reading a line and area bounded by lines

Reading a line and area bounded by lines

Secondary 2
7 marks
TGM Original Questions

The line \(y=px+q\) passes through \((-2,0)\) and \((0,2)\).

  1. Find \(p\) and \(q\).[2]
  2. A point \((a,6)\) lies on the line. Find \(a\).[2]
  3. State the equation of the vertical line passing through the point found in (b).[1]
  4. Find the area bounded by the line, this vertical line, and the \(x\)-axis.[2]

Solution:

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Answer:\(p=1\), \(q=2\), \(a=4\), vertical line \(x=4\), area \(18\) square units.

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