if the x is on the numerator on the equation. is the equation linear?

Well, if the denominator is constant and x is alone up there (no x^2 or sin x or anything) then yes

thanks damon

If the variable x is on the numerator of the equation, it does not necessarily mean that the equation is linear. The linearity of an equation depends on the power to which x is raised. A linear equation is one where the highest power of x is 1, meaning that x appears with an exponent of 1.

For example, the equation y = 2x + 3 is linear because the highest power of x is 1. However, if the equation contains terms like x^2, x^3, or any other exponent greater than 1, then it is not linear.

To determine if an equation is linear, we need to check if the highest power of the variable x is 1, and if there are no other variable terms raised to a higher power.

If the equation has x on the numerator (e.g., ax + b = 0), it can still be linear as long as the highest power of x is 1 and there are no other variable terms with higher exponents.

To confirm whether the equation is linear, look for any terms involving x that have an exponent greater than 1 or any other variable terms (e.g., x^2, xy, etc.). If there are none and the highest power of x is 1, then the equation is linear.