Final answer:
The ordered pairs (3,4) and (18,24) indicate a proportional relationship with a slope of 4/3. To find another pair on the line, any x-value can be multiplied by 4/3 to find the corresponding y-value, such as (6,8).
Step-by-step explanation:
The ordered pairs (3,4) and (18,24) are on a line that represents a proportional relationship. A proportional relationship between two quantities is represented by a constant ratio or slope when graphed. This means that for any other ordered pair (x,y) on this line, the ratio y/x should be equal to the slope of the line.
To find other ordered pairs on the line, we calculate the slope using the given points:
Slope (m) = (y2 - y1) / (x2 - x1) = (24 - 4) / (18 - 3) = 20 / 15 = 4 / 3.
So, if we multiply the x-value by 4/3, we get the corresponding y-value for any point on the line. One example of another ordered pair on the line could be (6,8) because 8/6 equals the slope 4/3.