The values below satisfy \(y=ax+b/x\), where \(a\) and \(b\) are constants.
\(x\)
1
2
3
4
5
\(y\)
8
7
8
9.5
11.2
On separate graph paper, plot \(xy\) against \(x^2\). Use the line to find \(a\) and \(b\).[4]
By drawing a second straight line on the same axes, find the positive solution of \((a+1)x^2+b=18\). State the equation of your second line in terms of the plotted variables.[4]
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