find the constant of proportionality of y=4: x=6

To find the constant of proportionality in the equation y = kx, where y and x are variables and k is the constant of proportionality, you need to compare the values of y and x and determine how they relate to each other.

In the given equation y = 4 and x = 6. We can see that y remains constant at 4 regardless of the value of x. This means that y and x are not directly proportional to each other. There is no constant of proportionality involved in this equation.

In general, a constant of proportionality (k) exists when two variables are directly proportional to each other, meaning that their ratio remains the same. For example, if y is directly proportional to x, the equation would be written as y = kx, where k is the constant of proportionality. In this case, changing the value of x would result in a corresponding change in y.

However, in the given equation y = 4: x = 6, there is no direct proportionality between y and x, so we cannot determine a constant of proportionality.