The constant of proportionality of the relationship shown in the graph is 3 and this can be determined by using the two-point slope form of the line.
Given :
The graph of a straight line is given.
The following steps can be used in order to determine the constant of proportionality of the relationship shown in the graph:
Step 1 - The two-point slope form of the line can be used in order to determine the constant of proportionality of the relationship shown in the graph.
Step 2 - The two-point slope form of the line is given below:
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] points on the line.
Step 3 - So, substitute (1,3) and (2,6) in the above equation.
[tex]\dfrac{y-3}{x-1}=\dfrac{6-3}{2-1}[/tex]
Step 4 - Simplify the above equation.
(y - 3) = 3(x - 1)
y - 3 = 3x - 3
y = 3x
So, the constant of proportionality of the relationship shown in the graph is 3. Therefore, the correct option is B).
For more information, refer to the link given below:
https://brainly.com/question/2564656
