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
![2x + 5 = 2x + 3](https://img.qammunity.org/2022/formulas/mathematics/high-school/qh6afkrpvqotn3rglp8nvp9cmna17gg393.png)
In the 2nd one,
- They are intersecting lines
- The slope is different
- The y intercepts are different
- They will have 1 solution
- E.x
![2x + 6= 5x + 5](https://img.qammunity.org/2022/formulas/mathematics/high-school/uf2zau5h0mck641odrwknuk3n8gro95kdf.png)
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
![2x + 9 = 2x + 9](https://img.qammunity.org/2022/formulas/mathematics/high-school/eo07qnu5zgmpzssu1s9b06kw6g4tmpshys.png)
You can plug any x value into the problem and it would be true.