Step-by-step explanation:
In the 1st one,
- They are parallel lines
- They both have the same slope
- The y intercepts are different
- They will have 0 solutions.
E.x
[tex]2x + 5 = 2x + 3[/tex]
In the 2nd one,
- They are intersecting lines
- The slope is different
- The y intercepts are different
- They will have 1 solution
- E.x
- [tex]2x + 6= 5x + 5[/tex]
This equation will have only 1 solution if you solve it.
In the 3rd one
- They are coincident lines
- They have the same slope
- They have the same y intercept
- They have infinite solutions
E.x
[tex]2x + 9 = 2x + 9[/tex]
You can plug any x value into the problem and it would be true.
