what is the constant of proportionality? write your answer as a whole number or

Explanation:

Step1: Identify two points on the line

Let's take two points ((x_1,y_1)=(1,0)) and ((x_2,y_2)=(10,1))

Step2: Use the formula for the constant of proportionality (slope formula)

The formula for slope (k=\frac{y_2 - y_1}{x_2 - x_1}) Substitute (x_1 = 1,y_1=0,x_2 = 10,y_2 = 1) into the formula: (k=\frac{1-0}{10 - 1}=\frac{1}{9}\approx0.11) (This is wrong, we should note that for a proportional relationship (y = kx), and when (x = 9,y=1) (from the graph, assume a correct point reading). Then (k=\frac{y}{x})

Step3: Correctly identify a point and calculate

Assume a point ((x = 9,y = 1)) (by observing the graph, when (x = 9), (y) - value is (1)). Using the formula (y=kx) (for proportional relationship), then (k=\frac{y}{x}) Substitute (x = 9,y = 1) into (k=\frac{y}{x}), we get (k=\frac{1}{9}) (Wait, no. Wait, if we consider the unit - rate. Wait, actually, if we assume that the line passes through ((9,1)) (by visual inspection of the graph, since each grid on (x) - axis is (1) unit and on (y) - axis is (1) unit). The relationship is (y=\frac{1}{9}x)

Answer:

(\frac{1}{9})