10. The straight line \(l _ { 1 }\) has equation \(4 y + x = 0\).
The straight line \(l _ { 2 }\) has equation \(y = 2 x - 3\).
- On the same axes, sketch the graphs of \(l _ { 1 }\) and \(l _ { 2 }\). Show clearly the coordinates of all points at which the graphs meet the coordinate axes.
The lines \(l _ { 1 }\) and \(l _ { 2 }\) intersect at the point \(A\).
- Calculate, as exact fractions, the coordinates of \(A\).
- Find an equation of the line through \(A\) which is perpendicular to \(l _ { 1 }\). Give your answer in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.