Graphical solution of a linear equation

Graphical solution of a linear equation

Secondary 2
6 marks
TGM Original Questions
  1. Copy and complete the following table of values of \(x\) and \(y\) for the equation \(y=-2x+4\). On the grid provided below, using the numbered axis scales, use the values in the table to draw and label the graph of \(y=-2x+4\) for \(-1\leq x\leq2\).[3]
    \(x\)\(-1\)\(0\)\(2\)
    \(y\)
  2. On the same axes, draw and label the graph of \(y=3x-2\).[2]
  3. Hence, use the coordinates of the point of intersection to solve \(3x-2=4-2x\), giving the value of \(x\) correct to 1 decimal place.[1]

Solution:

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Answer:(a) \(y=6,4,0\), with graph as shown. (b) See the completed second line. (c) \(x=1.2\) (1 d.p.).

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