Question

What is the constant of proportionality of the relationship shown in the graph?
A) 1/3
B) 3
C) 15
D) 0

Answer 1

Answer:

B

select a point in the graph that is on the line

for example I choose (1,3) then devide the y-axis element by the x-axis

Answer 2

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:

$\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}$

where $(x_1,y_1)$ and $(x_2,y_2)$ points on the line.

Step 3 - So, substitute (1,3) and (2,6) in the above equation.

$\dfrac{y-3}{x-1}=\dfrac{6-3}{2-1}$

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