Using the points shown in the graph, identify the constant of proportionality for this graph

1 answer

In order to identify the constant of proportionality for this graph, we need to calculate the slope of the line. The slope represents the rate at which one variable (y-axis) changes with respect to the other variable (x-axis).

If we choose any two points on the line, we can calculate the slope using the formula:

Slope = (change in y) / (change in x)

Let's choose two points: (2, 6) and (4, 12).

change in y = 12 - 6 = 6
change in x = 4 - 2 = 2

Slope = 6 / 2 = 3

Therefore, the constant of proportionality for this graph is 3.