Chapter 10.5, Problem 30MS

Cake plot. Imagine a cake in the shape of a rectangle that is placed on the xy-plane with corners at the points $\text{A-}\left(\text{O, 0}\right)\text{, B-}\left(\text{0, 3}\right)\text{, C-}\left(\text{5, 3}\right)\text{, and D-}\left(\text{5, 0}\right)\text{.}$

You plan to cut the cake along a line from point A to point C. Find an equation for this line. What if you wanted to cut the cake along the line from B to D? Find an equation for this line.