Question

6 multiple choice 1 point what is the constant of proportionality for the graph shown below? the following graph shows a proportional relationship. what is the constant of proportionality between y and x in the graph? graph of a proportional relationship with a point at (2,4) options: 2, 1, 5, 0

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 graph.

Step2: Identify a point on the graph

From the graph, we can see that the point \( (2,4) \) lies on the line (since at \( x = 2 \), \( y = 4 \)).

Step3: Calculate the constant of proportionality

Using the formula \( k=\frac{y}{x} \), substitute \( x = 2 \) and \( y = 4 \). So, \( k=\frac{4}{2}=2 \).

Answer:

2