Copy and complete the following table of values of \(x\) and \(y\) for the equation \(y=-2x+4\). On the grid provided below, using a scale of 1 cm to represent 1 unit on both axes, use the values in the table to draw and label the graph of \(y=-2x+4\) for \(-1\leq x\leq2\).
\(x\)
\(-1\)
\(0\)
\(2\)
\(y\)
On the same axes, draw and label the graph of \(y=3x-2\).
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.
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Answer:\(x=1.2\) (intersection approximately \((1.2,1.6)\)).