Answering:
The equation of the line is y = -3
Explanation:
The equation of the line passing through the points (x₁, y₁) and (x₂, y₂) is given as:
[tex]y-y_1=m(x-x_1)[/tex]
where m represents the slope and is given by the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For the line passing through (1, -3) and (2, -3)
[tex]x_1=1,\text{ y^^^^2081=-3, x^^^^2082 = 2, y^^^^2082 =-3}[/tex]
The slope is calculated as:
[tex]\begin{gathered} m=\frac{-3-(-3)}{2-1} \\ m=0 \end{gathered}[/tex]
y - (-3) = 0(x - 1)
y + 3 = 0
y = -3
The equation of the line is y = -3
