Question

what is the constant of proportionality?

Explanation:

Step1: Recall the formula for constant of proportionality

For a proportional relationship \( y = kx \), the constant of proportionality \( k \) is given by \( k=\frac{y}{x} \), where \( (x,y) \) is a point on the line.

Step2: Identify a point on the line

From the graph, when \( x = 2.0 \), \( y = 10 \).

Step3: Calculate the constant of proportionality

Using the formula \( k=\frac{y}{x} \), substitute \( x = 2.0 \) and \( y = 10 \). So \( k=\frac{10}{2.0}=5 \).

Answer:

5