Given the rhombus labelled ABCD as shown;
Note that the adjacent side of the parallelogram are parallel to each other i.e AD//BC and AB//CD
You will see that the line AD is parallel to line BC and since teo parallel li nes has the same slope, hence the slope of tghe line AD will be the same as that of BC.
Given
Since slope of AD as 2/3, hence the slope of the line BC will also be 2/3