We have been given an equation [tex]\frac{x}{y}=\frac{2}{9}[/tex]. We are asked to find constant of proportionality from our given equation.
We know that two directly proportional equations are in form [tex]y=kx[/tex],where y is directly proportional to x and k is constant of proportionality.
Let us rewrite our given equation by cross multiplying as:
[tex]2y=9x[/tex]
Now we will divide both sides of equation by 2.
[tex]\frac{2y}{2}=\frac{9x}{2}[/tex]
[tex]y=\frac{9}{2}x[/tex]
We can see that our equation is in form [tex]y=kx[/tex] and constant of proportionality is [tex]\frac{9}{2}[/tex].
