Final answer:
To identify the constant and equation of the given ordered pairs, we need to calculate the slope using the change in y-coordinates and the change in x-coordinates. The constant or slope represents the rate of change. The equation is in the form y = mx, where m represents the constant or slope.
Step-by-step explanation:
The given set of ordered pairs is {(12,6), (8,4), (14,7), (-6, -3)}. To identify the constant and equation of the ordered pairs, we need to understand that an ordered pair consists of x and y coordinates.
In this case, the x-coordinate represents the independent variable, while the y-coordinate represents the dependent variable. The constant represents the rate of change, or the slope, between the x and y coordinates.
Let's take the first ordered pair (12,6) as an example. The constant or slope can be calculated using the formula:
slope = (change in y-coordinates)/(change in x-coordinates)
Applying the formula, we have:
slope = (6 - 4)/(12 - 8) = 2/4 = 0.5
Therefore, the constant or slope for the ordered pair (12,6) is 0.5. The equation would be y = 0.5x, where y represents the dependent variable and x represents the independent variable.