Copy and complete the following table of values of \(x\) and \(y\) for the equation \(y=2x+1\). 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 \(y=2x+1\) for \(-2\leq x\leq3\).
\(x\)
\(-2\)
\(0\)
\(3\)
\(y\)
On the same axes, draw and label the line \(x=2\). Hence, write down the coordinates of its point of intersection with the line \(y=2x+1\).
On the same axes, draw and label the graph of \(3y-x=8\) for \(-2\leq x\leq3\).
Hence, solve the simultaneous equations \(y=2x+1\) and \(3y-x=8\) graphically.
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Answer:Table \((-2,-3),(0,1),(3,7)\); vertical-line intersection \((2,5)\); system solution \((1,3)\).