\(y = \frac { 3 } { x ^ { 2 } }\).
\item (a) Express \(x ^ { 2 } - 10 x + 27\) in the form \(( x + p ) ^ { 2 } + q\).
(b) Sketch the curve with equation \(y = x ^ { 2 } - 10 x + 27\), showing on your sketch
the coordinates of the vertex of the curve,
the coordinates of any points where the curve meets the coordinate axes.
\item The straight line \(l _ { 1 }\) has gradient 2 and passes through the point with coordinates \(( 4 , - 5 )\).
Find an equation for \(l _ { 1 }\) in the form \(y = m x + c\).
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The straight line \(l _ { 2 }\) is perpendicular to the line with equation \(3 x - y = 4\) and passes through the point with coordinates \(( 3,0 )\).
Find an equation for \(l _ { 2 }\).
Find the coordinates of the point where \(l _ { 1 }\) and \(l _ { 2 }\) intersect.