The lines (AC) and (BD) intersect at the point P(3,K)

[sallyj92]

The lines (AC) and (BD) intersect at the point P(3,K)
Show K=1.

AC=(4,2) or (x,y)=(5,2)+s(4,2)
BD=(3,-6) or (x,y)=(1,5)+t(3,-6)

A(1,0), B(1,5), C(5,2), D(4,-1)

[PLAIN]http://img840.imageshack.us/img840/6263/1894869.jpg

 

[Mark44]

Find equations for the line segments AC and BD, using the coordinates for A, B, C, and D that are given.
Next, find the point of intersection of the two lines.