Question

What is the constant of proportionality in the equation StartFraction x over y EndFraction = StartFraction 2 over 9 EndFraction?

Answer 1

We have been given an equation $\frac{x}{y}=\frac{2}{9}$. We are asked to find constant of proportionality from our given equation.

We know that two directly proportional equations are in form $y=kx$,where y is directly proportional to x and k is constant of proportionality.

Let us rewrite our given equation by cross multiplying as:

$2y=9x$

Now we will divide both sides of equation by 2.

$\frac{2y}{2}=\frac{9x}{2}$

$y=\frac{9}{2}x$

We can see that our equation is in form $y=kx$ and constant of proportionality is $\frac{9}{2}$.