Q4.
The triangle ABC has vertices A(-2, 3), B(4, 1) and C(2,-5).
Find the coordinates of the mid-point of BC.
(b)
(c)
(1) Find the gradient of AB, in its simplest form.
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(ii)
Hence find an equation of the line AB, giving your answer in the form x +qy=r, where q and rare
integers.
(iii) Find an equation of the line passing through C which is parallel to AB.
Prove that angle ABC is a right angle.