Answer:
see below
Step-by-step explanation:
A proportional relationship has a graph that <em>always goes through the origin</em>. This fact by itself eliminates all the wrong answers.
A slope of 2/3 means the rise is 2 for each horizontal run to the right of 3. The two given points are 2 vertical units and 3 horizontal units apart, demonstrating a slope of 2/3.
Given:


To find:
The quadrant in which
lie.
Solution:
Quadrant concept:
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II, only
and
are positive.
In Quadrant III, only
and
are positive.
In Quadrant IV, only
and
are positive.
We have,


Here,
is negative and
is also negative. It is possible, if
lies in the Quadrant IV.
Therefore, the correct option is D.