P is the point with coordinates (2, 5) and Q is the point with coordinates (6, 3).

Question:

P is the point with coordinates (−2, 5) and Q is the point with coordinates (−6, −3).

a) Find the gradient of the line PQ.

b) Find the equation of the line PQ. Give your answer in the form ax + by + c = 0.

c) Find the equation of the line that is
parallel to PQ and passes through the
point R with coordinates (1, −2).

d) Find the exact length of QR.

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