We have been given an equation [tex]9y=45x[/tex] and we are asked to find the constant of proportionality of this equation.
In order to find constant of proportionality we will use proportionality constant formula [tex]y=kx[/tex] , where k is proportionality constant.
Now let us try to write our given equation in this form,
[tex]9y=45x[/tex]
Now let us divide both sides of our equation by 9
[tex]\frac{9y}{9}=\frac{45x}{9}[/tex]
After dividing both sides of our equation by 9 we will get
[tex]y=5x[/tex]
Upon comparing our equation with [tex]y=kx[/tex] we get proportionality constant as 5.