Answer-
The constant of proportionality is [tex]\dfrac{9}{8}[/tex]
Solution-
The constant of proportionality is the slope of the line, representing the relationship between the two variables.
The line passes through origin (0, 0) and [tex](\frac{2}{3},\frac{3}{4})[/tex]
We know that slope 'm' of the line joining (x₁, y₁) and (x₂, y₂) is,
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Putting the values,
[tex]m=\dfrac{\frac{3}{4}-0}{\frac{2}{3}-0}[/tex]
[tex]=\dfrac{\frac{3}{4}}{\frac{2}{3}}[/tex]
[tex]=\dfrac{3\times 3}{2\times 4}[/tex]
[tex]=\dfrac{9}{8}[/tex]
