Final answer:
To complete the ordered pairs for the equation y = (1/5)x + 3, we substitute various x values into the equation and solve for y. We can find the slope and y-intercept using the median points from the data groups through the median-median line approach.
Step-by-step explanation:
The question involves finding the ordered pairs for a linear equation in the form of y = (1/5)x + 3. To generate ordered pairs, we can choose any values for x, substitute them into the equation, and calculate the corresponding y values. For example, if x = 0, y = 3; for x = 5, y = (1/5)(5) + 3 = 4; for x = -5, y = (1/5)(-5) + 3 = 2. Thus, the complete ordered pairs could be (0, 3), (5, 4), and (-5, 2).
To find the slope (m) and y-intercept of a line given two ordered pairs, we can use the formula m = (Y2 - Y1) / (X2 - X1). In the context of median-median line approach, the slope is calculated by dividing the difference in the y-values by the difference in the x-values of the median points from the three groups. Once the slope is determined, the y-intercept can be found by using one of the median points and solving for the y-intercept (b) in the equation y = mx + b.