The equation is y = 1.
[tex]y - y_{1} = \frac{y _{2}-y_{1} }{ x_{2}-x_{1} } (x- x_{1} )[/tex]
The points are (-1,1) and (0,1) ⇒ y-intercept coordinates
y-1 = 1 - 1 (x - -1)
0 - - 1
y - 1 = 0 (x + 1)
1
y - 1 = 0
y = 1
Please click the image below.
If the given data are correct, then the graph overlaps and not parallel, because they have the same slope and y - intercept. The equation is both y = 1.
The system is consistent but dependent. The lines are coinciding. The solutions are infinite.