# How do you write an equation of the line using function notation given Slope 0; through (-1,-4)?

Jun 23, 2016

f(x) = -4

#### Explanation:

A straight line which has a slope of 0 is a horizontal line.
Therefore the x value has no effect on the line at all,
The y value will always be -4.

In standard form : $y = m x + c$
This becomes $y = 0 x - 4 \Rightarrow y = - 4$

y =f(x). However this is not really a function of $x$, because there is no x term,

The value of y will always be -4, regardless of which value of x is used.

f(x) = -4