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:
![y\text{ = m}\cdot x\text{ + c}](https://img.qammunity.org/2023/formulas/mathematics/college/4gssrkevyhueke8o04jketpn4cukhhu0jy.png)
Where,
![\begin{gathered} m\colon\text{ Slope} \\ c\colon\text{ y-intercept} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/913rau3vn9zv93glx5up3m68i796h0iyjn.png)
We are given the following equation of a straight line:
![y\text{ = -4}](https://img.qammunity.org/2023/formulas/mathematics/college/dr0cfhlha7vv6ptouz9oooizvza5l6gycn.png)
We will employ the coefficient comparison method to evaluate the values of each parameter ( m and c ). Therefore,
![y\text{ = -4 }\equiv\text{ m}\cdot x\text{ + c}](https://img.qammunity.org/2023/formulas/mathematics/college/sukzs4rxb6hf5paixdx1tkbybril8crwso.png)
Hence,
![\begin{gathered} m\text{ = 0} \\ c\text{ = - 4} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/evt3qpcytwv314rtrfp2ppyrfx4nx967ai.png)
The slope ( m ) of the given equation of line is as follows:
![0](https://img.qammunity.org/2023/formulas/chemistry/high-school/88zsfzw66vtb047d6l3giuhg6kzrkrvjt8.png)