Two lines L1: 2y — 3x 6 = 0 and L2: 3y + x — 20 = 0 intersect at a point A. (a) Find the coordinates of A. (3 marks) (b) A third line L3 is perpendicular to L2 at point A. Find the equation of L3 in the form y = mx + c, Where m and c are constants. (3 marks) (c) Another line L4 is parallel to L1 and passes through (—l,3). Find the x and y intercepts of L 4

Two lines L1: 2y — 3x 6 = 0 and L2: 3y + x — 20 =

0 intersect at a point A.

(a) Find the coordinates of A.

(b) A third line L3 is perpendicular to L2 at point A. Find the equation of L3 in the form y = mx + c, Where m and c are constants.

(c) Another line L4 is parallel to L1 and passes through (—l,3). Find the x and y intercepts of L 4