Math Problem Solver

In the diagram below, the line joining Q(−4;−2)

and P(j;k)

, j

and k>0

, makes an angle of 45°

with the positive x

-axis. PQ=62–√

units. K(5;0)

is the midpoint of PR

and J

is the midpoint of QR

. The gradient of PQ

is m=1

. Point S which has the coordinates (14;2)

is placed such that PQRS

is a parallelogram.

Determine the coordinates of P

.