To find the constant of proportionality for the points given in the graph: (4, 28), (3, 21), and (2, 14), we need to identify the ratio of the y-value to the x-value for each point.
-
For the point (4, 28): \[ \text{Constant of proportionality} = \frac{y}{x} = \frac{28}{4} = 7 \]
-
For the point (3, 21): \[ \text{Constant of proportionality} = \frac{y}{x} = \frac{21}{3} = 7 \]
-
For the point (2, 14): \[ \text{Constant of proportionality} = \frac{y}{x} = \frac{14}{2} = 7 \]
In all cases, the constant of proportionality is \(7\).
Therefore, the constant of proportionality for this graph is \(7\).