Respuesta :

We will investigate how to determine the slope ( m ) from an equation of a straight line.

The general slop-intercept form of an equation of a line is as follows:

[tex]y\text{ = m}\cdot x\text{ + c}[/tex]

Where,

[tex]\begin{gathered} m\colon\text{ Slope} \\ c\colon\text{ y-intercept} \end{gathered}[/tex]

We are given the following equation of a straight line:

[tex]y\text{ = -4}[/tex]

We will employ the coefficient comparison method to evaluate the values of each parameter ( m and c ). Therefore,

[tex]y\text{ = -4 }\equiv\text{ m}\cdot x\text{ + c}[/tex]

Hence,

[tex]\begin{gathered} m\text{ = 0} \\ c\text{ = - 4} \end{gathered}[/tex]

The slope ( m ) of the given equation of line is as follows:

[tex]0[/tex]