Question

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

Answer 1

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.