The straight line l₁ has equation 4y + x = 0. The straight line l₂ has equation y = 2x − 3.

a. On the same axes, sketch the graphs of l₁ and l₂. Show clearly the coordinates of all points at which the graphs meet the coordinate axes. The lines l₁ and l₂ intersect at the point A.

b. Calculate, as exact fractions, the coordinates of A.

c. Find an equation of the line through A which is perpendicular to l₁. Give your answer in the form ax + by + c = 0, where a, b and c are integers.