# How do you decide whether the relation #y = - 7 / 2x - 5 # defines a function?

##### 1 Answer

Nov 10, 2015

This is a linear function.

#### Explanation:

The first indication that this expression might be a function is that it has a dependent variable (

graph{(-7/2)x-5 [-10, 10, -10, 10]}

With the graph plotted, you can make the vertical line test. Draw multiple vertical lines across the graph. If they always touch the function in only one spot, then it is a function.

One of the definitions of a function is that, for every