Graphical method from slope-intercept and standard forms

Graphical method from slope-intercept and standard forms

Secondary 2
TGM Original Questions

Consider the straight lines \(y=2x-3\) and \(x+y=6\).

  1. Copy and complete the following tables of values of \(x\) and \(y\) for the equations \(y=2x-3\) and \(x+y=6\).
    1. For the equation \(y=2x-3\):
      \(x\)\(-1\)\(2\)\(5\)
      \(y\)
    2. For the equation \(x+y=6\):
      \(x\)\(-1\)\(2\)\(5\)
      \(y\)
  2. On the grid provided below, using a scale of 1 cm to represent 1 unit on both axes, draw and label the graphs of \(y=2x-3\) and \(x+y=6\) for \(-1\leq x\leq5\).
  3. Hence, solve the simultaneous equations \(y=2x-3\) and \(x+y=6\) graphically.

Solution:

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Answer:\((3,3)\).

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