Solution
To find the equation of a line passing through the points (0,-4)(5,-4)
The equation would be;
[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex]Given
[tex]\begin{gathered} (x_1,y_1)=(0,-4) \\ \\ (x_2,y_2)=(5,-4) \end{gathered}[/tex][tex]\begin{gathered} \Rightarrow\frac{y-(-4)}{x-0}=\frac{-4-(-4)}{x-(5)}=0 \\ \\ \Rightarrow\frac{y+4}{x}=0 \\ \\ \Rightarrow y+4=0 \\ \\ \Rightarrow y=-4 \end{gathered}[/tex]