The constant of proportionality represented by K will be 1/3 which is shown in the given graph.
What is the constant of proportionality?
Firstly, there is a proportional relationship.
Two values x and y are said to be in a proportional relationship if x = ky, where x and y are variables and k is a constant.
The constant k is called the constant of proportionality.
The proportional relationship between x and y can be written symbolically as
[tex]x \propto y[/tex]
That middle sign is called a sign of proportionality.
In the given graph x line and y line have been graphed.
Since the relation between them has been represented by a straight line, so their relationship can be represented by
x = K × y
where K is the proportionality constant.
Now K = [tex]\dfrac{x}{y}[/tex]
= [tex]\dfrac{2}{6}[/tex]
= 1/3
therefore, the constant of proportionality will be 1/3.
Learn more about proportionality ;
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