# Is #y= -4/x# a linear equation?

##### 2 Answers

The given equation is not linear because the power of

#### Explanation:

Given -

#y=-4/x#

The given equation is not linear because the power of

#y=-4x^(-1)#

Look at this graph of the given equation.

No.

It is a **reciprocal equation**.

#### Explanation:

Given:

Generate a **data table** as shown below:

Display just the

Graph both the **parent reciprocal function** and the given function for the purpose of comparison:

is a reciprocal function and it represents a **hyperbola**.

It is also an **odd function**.

The function's domain is all real values, except zero.

It is also very obvious, examining the graph:

For the parent function :

Horizontal and Vertical Asymptotes:

For the given function :

Horizontal and Vertical Asymptotes:

Hope it helps.