Question: The line PQ has equation 3x 2y = 12. P is the point with coordinates (6, 3) and Q is the point with coordinates

The line PQ has equation 3x − 2y = 12. P is the point with coordinates (6, 3) and Q is the point with coordinates (−2, k).

a) Find the value of k.

b) Find an equation of the line through P that is perpendicular to PQ. The point R has coordinates (2, −5).

c) Find the exact length of PR.

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