Determinants and Analytic Geometry

Relation between determinants and equation of a line

For a given triangle [i]ABC[/i], it is given that A(4,0), B(8,8) and the area is 24. Find the vertex C, a) if C liens on the [i]y[/i]-axis. b) if C liens on the [i]x[/i]-axis . c) Which equation must all these vertices C satisfy? d) What does the equation represent?