is this a nonlinear equation?

2x / 4x

If y = 2x / 4x = 1/2 x, this is a linear equation.

yes

To determine if the equation 2x / 4x is nonlinear, we need to examine the form of the equation.

A nonlinear equation is one where the highest power of the variable(s) is greater than 1 or the equation involves higher-order terms such as square roots, trigonometric functions, or logarithms.

In this case, the equation 2x / 4x is a rational function, meaning it is a ratio of two polynomials. The highest power of x in the numerator and denominator is 1. Since there are no higher-order terms or powers of x greater than 1, we can conclude that this equation is linear, not nonlinear.