Consider the given equation.
y-9=2/xWe want to determine whether the equation represents a linear or nonlinear function. To do so, remember that all linear equations must be able to be written in slope-intercept form.
y=mx+b
Here, m represent the slope and b indicates the y-intercept. These are the general characteristics or parameters of the line. If we change either of these parameters, the function's graph will change too. Let's solve the given equation for y to see if it can be written in this form.
While this may look very similar to the slope-intercept form, it is not exactly correct. The variable x is in the denominator of a fraction, which is not allowed. Therefore, this function is nonlinear.
Extra
Nonlinear Function
More information about the graphs of nonlinear functions can be found on the following pages.
