Answer: [tex]y = -x-1[/tex]
Step-by-step explanation:
The Slope-Intercept form of the equation of the line is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
When you have a System of Linear equations and the lines are exactly the same line, you can identify that the System has Infinitely many solutions.
In this case, you know that the Line M is represented by the following equation:
[tex]x + y = -1[/tex]
Solving for "y" , you get:
[tex]y = -x-1[/tex]
You can identify that:
[tex]m=-1\\\\y=-1[/tex]
Therefore, to the set of equations has infinitely many solutions, the Line M and the Line P must be exactly the same.
Then, you can determine that the Line P is represented by the following equation:
[tex]y = -x-1[/tex]
