[tex]\boxed{y=-1}[/tex]
In order to solve this problem, let's remember the point-slope form of the equation of a line:
[tex]y-y_{1}=m(x-x_{1}) \\ \\ m:slope \\ \\ (x_{1},y_{1}):A \ point \ on \ the \ line[/tex]
We know two points:
[tex](x_{1},y_{1})=(-4, -1) \\ \\ (x_{2},y_{2})=(6, -1)[/tex]
So:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{-1-(-1)}{6-(-4)} \\ \\ m=0[/tex]
So this is a constant line (slope equals zero). Therefore, every point has a y-coordinate [tex]y=-1[/tex]. In other words, the equation is:
[tex]\boxed{y=-1}[/tex]
Equation of lines: https://brainly.com/question/13015874
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