Final answer:
Two ordered pairs that could represent other points on the graph of the proportional relationship with the point (3,2) are (6,4) and (9,6), calculated by using the constant of proportionality k = 2/3 derived from the given point.
Step-by-step explanation:
The ordered pair (3,2) represents a point on the graph of a proportional relationship. To find other points that represent this relationship, we must use the concept of direct proportionality, where if y is directly proportional to x, we can represent this as y = kx where k is the constant of proportionality.
Since we have the point (3,2), we can calculate k as follows:
k = y/x = 2/3
Now, using this k, we can find other pairs that are on the line represented by the equation y = (2/3)x. Multiplying any x-value by (2/3) will give us a corresponding y-value that lies on the same line. Here are two examples:
- For x = 6, y = (2/3)*6 = 4, so the ordered pair is (6,4).
- For x = 9, y = (2/3)*9 = 6, so the ordered pair is (9,6).
These two pairs, (6,4) and (9,6), would be on the same straight line as (3,2) when graphed, demonstrating the direct proportionality.