Triangle formed by three lines

Triangle formed by three lines

Secondary 2
5 marks
TGM Original Questions

On the grid provided below, using the numbered axis scales, draw and label the graphs of \(y=2x-4\), \(y=-x+5\) and \(y=3\) for \(-1\leq x\leq6\).

  1. Write down the coordinates of the point of intersection of \(y=2x-4\) and \(y=-x+5\).[1]
  2. Write down the coordinates of the points where \(y=2x-4\) and \(y=-x+5\) meet the line \(y=3\).[2]
  3. Hence, calculate the area of the triangle enclosed by the three lines.[2]

Solution:

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Answer:Intersection \((3,2)\); other vertices \((3.5,3)\), \((2,3)\); area \(0.75\) square units.

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