Answer:
B
Step-by-step explanation:
Line H is represented by the equation:
[tex]2x+2y=8[/tex]
And we want to find Line K such that the set of equations has infinitely many solutions.
Remember the three solution sets for linear equations:
- If the two are parallel, they have no solutions.
- If the two are not parallel, they will intersect and thus have only one solution.
- If the two are the exact same line, then they will have infinitely many solutions.
From Line H, we can divide both sides by two. This yields the equivalent equation:
[tex]x+y=4[/tex]
Therefore, the new equation and Line H are the same line. Thus, they will have infinitely many solutions.
The answer is B.
