Q. The straight line *l *passes through the points *A* and *B *with coordinates (2,0) and (5,6) respectively.**a)** Find an equation of *l*

The straight line *L* is perpendicular to *l* and passes through the point *C* with coordinates (0.5,7)

The lines *l* and *L* intersect in the point *D*.

**b) **Find an equation of *L* and show that the coordinates of *D* are (4.5,5)

Hence calculate

**c)** the ratio in which *D* divides the line segment *AB*

**d)** the area of triangle *ABC*

I've done all of it, but I'm having problems with part c. It would be really helpful if somebody showed me all the possible solutions to part c.

Please show all your working, and include the names of any facts or theories you use. If possible, include a diagram. Thank you!