Answer:
[tex]y = -4[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (0, -4)[/tex]
[tex](x_2,y_2) = (5, -4)[/tex]
Required
Determine the equation
First, calculate the slope using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-4 - (-4)}{5 -0}[/tex]
[tex]m = \frac{-4 +4}{5}[/tex]
[tex]m = \frac{0}{5}[/tex]
[tex]m = 0[/tex]
The equation is then calculated using:
[tex]y = m(x -x_1) + y_2[/tex]
This gives:
[tex]y = 0(x - 0)-4[/tex]
[tex]y = 0-4[/tex]
[tex]y = -4[/tex]
