Question

Line M is represented by the following equation: x + y = -1

What is most likely the equation for line P so the set of equations has infinitely many solutions?

Answer 1

Answer:
`y = -x-1`

Explanation:

The Slope-Intercept form of the equation of the line is:

`y=mx+b`

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:

`x + y = -1`

Solving for "y" , you get:

`y = -x-1`

You can identify that:

`m=-1\\\\y=-1`

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:

`y = -x-1`