Respuesta :

Answer:

The answer is y = 7/x -6.

Step-by-step explanation:

A linear function is one where x and y are both to the first power.  Using this knowledge, let's look at the options that we are given.

y = 4x + 9

In the above equation, both x and y are raised to the first power, so we know that this equation is linear.

y = 7/x - 6

In the above equation, y is raised to the first power, but x is not.  Since x is in the denominator of a fraction, it actually has a power of -1, which makes this equation nonlinear.

y = x - 6/7

In the above equation, both x and y are raised to the first power, making the equation linear.

Therefore, the correct choice is y =7/x - 6.

Hope this helps!