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In the diagram, A(6;-2), B(2,15) and C(-4;3) are the vertices of $\bigtriangleup{ABC}$. M is the endpoint of AB. N is a point on CA such that MN $\parallel$ BC.

1. Determine the coordinates of M, the midpoint of AB
2. Determine the gradient of line MN
3. Hence, or otherwise, determine the equation of line MN, in the form $y=mc+c$
4. Calculate, with reasons, the coordinates of point N
5. If ABCD (in that order) is a parallologram, determine the coordinates of point D.

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1.M= ((6+2)/2 ; (-2+15)/2 )

= (4; 13/2 )

= 2

3. MN, y-13/2 = 2(x-4)

y= 2x - 3/2
by Diamond (43,720 points)

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