Determine if the equation
y = 2/5 x − 4
represents a proportional relationship. If so, determine the constant of proportionality.
if x increases by a factor of 5, y increaes by 2.
constant: 2/5
To determine if an equation represents a proportional relationship, we need to check if the equation can be rewritten in the form y = kx, where k is a constant and represents the constant of proportionality.
In the given equation, y = 2/5x - 4, we can see that it is not in the form y = kx, as there is an additional term -4. Therefore, this equation does not represent a proportional relationship.
To find the constant of proportionality in a proportional relationship, we need an equation in the form y = kx. For example, if we had y = 3x, the constant of proportionality would be 3.
However, in the given equation, y = 2/5x - 4, there is no constant of proportionality since the equation does not represent a proportional relationship.