Show that the points in the Argand diagram represented by the complex number `1+3i,4-3i,5-5i` are collinear.

Explanation

Let the three complex numbersbe represente din the Argand plane by the points P,Q,R respectiely. Then `P=(1,3),Q=(4,-3), R=(5,-5)`. The slop of the line segment
Joining P,Q is `(3+3)/(1-4)=(6)/(-3)=-2`
similarly, the slop of the line segment joining Q,R is `(-3+5)/(4-5)=(2)/(-1)=-2`
Since the slope of PQ is the slope of Qr, the points P,Q and R are collinear.