In order to identify the constant of proportionality for a graph, we need to find the slope of the line. The slope represents how much the dependent variable (y-axis) increases or decreases for each unit increase in the independent variable (x-axis).
Referring to the graph provided, we can select any two points on the line and calculate the slope using the formula:
slope = (change in y) / (change in x)
Let's choose the points (2, 6) and (8, 24) on the line:
slope = (24 - 6) / (8 - 2)
slope = 18 / 6
slope = 3
Therefore, the constant of proportionality for this graph is 3. This means that for every unit increase in the x-axis, the y-axis value increases by 3.
Using the points shown in the graph , identity the constant of proportionally for this graph
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