Graphing Linear Functions and Solving Simultaneous Equations

Graphing Linear Functions and Solving Simultaneous Equations

Secondary 2
  1. A table of values of the linear function \(y=2-3x\) is given below.
    Find the value of \(p\) and \(q\).
    \(x\)\(-1\)\(0\)\(1\)\(2\)
    \(y\)\(p\)\(2\)\(q\)\(-4\)
  2. Plot the graph of \(y=2-3x\) on the grid below.
  3. Plot the graph of \(y=x+2\) on the same grid below.
    \(x\)\(-1\)\(1\)\(3\)\(4\)
    \(y\)\(1\)\(3\)\(5\)\(6\)
  4. Solve the simultaneous equations\(y=2-3x\),\(y=x+2\) graphically.
    List item image

Correction: part (d) uses the same two lines as parts (b) and (c).

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Answer:(a) \(p=5,q=-1\). (b)–(c) Graph shown. (d) \(x=0,y=2\).

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