dentify the constant of proportionality from the graph. (1 point)
2/3
1/2
2
3/2
Without seeing the actual graph, I am unable to determine the constant of proportionality directly. However, I can explain how you would find the constant of proportionality from a graph.
The constant of proportionality is the ratio between two variables that are directly proportional to one another. On a graph, if one variable is on the x-axis and the other on the y-axis, the constant of proportionality is the slope of the line.
If you have a straight line graph that goes through the origin (0,0), the constant of proportionality (k) can be found by taking any two points on the line, \((x_1, y_1)\) and \((x_2, y_2)\), and using the formula:
\[ k = \frac{y_2 - y_1}{x_2 - x_1} \]
This will give you the slope of the line, which is the constant of proportionality.
If the line does not go through the origin, then it does not represent a direct proportion and there may not be a constant of proportionality as defined in direct variation.
Look at your graph, choose two points on the line, substitute their coordinates into the formula and calculate k. One of the values you gave (2/3, 1/2, 2, 3/2) should match your calculation if the graph is illustrating one of those as the constant of proportionality.