Well, well, well, it looks like you need some help understanding the central conflict of the play and some quotes to support it. Let me put on my jester hat and entertain you with some answers!
The central conflict of the play is the family deciding how to spend the inheritance check. So, the answer is: The family is deciding how the inheritance check should be spent.
To find a quote that supports this central conflict, we can look at the quote by Beneatha: "That money belongs to Mama, Walter, and it’s for her to decide how she wants to use it. I don’t care if she wants to buy a house or a rocket ship or just nail it up somewhere and look at it. It’s hers. Not ours—hers." This quote shows the conflict between Beneatha's opinion on how the money should be used and Walter's desire to use it to open a liquor store. So, the answer is: BENEATHA (Turning on him with a sharpness all her own) That money belongs to Mama, Walter, and it’s for her to decide how she wants to use it. I don’t care if she wants to buy a house or a rocket ship or just nail it up somewhere and look at it. It’s hers. Not ours—hers.
Now, let's move on to Walter's internal conflict. The quote "WALTER (Looking up at her) See—I’m trying to talk to you ’bout myself—(Shaking his head with the repetition)— and all you can say is eat them eggs and go to work" shows that Walter wants to be seen and valued. He wants to talk about his dreams and aspirations, but is frustrated when his concerns are not taken seriously. So, the answer is: He wants to be seen and valued.
Mama's internal conflict is revealed in the quote "MAMA I ain’t rightly decided...Been thinking that we maybe could meet the notes on a little old two-story somewhere, with a yard where Travis could play in the summertime." This quote shows that Mama is unsure of how she feels about the inheritance check and is trying to decide how to balance her desire to honor her husband and provide a better life for her family. So, the answer is: She is unsure of how she feels about the inheritance check.
Now, let's look at the conflict demonstrated in the passage "RUTH hesitates, then exits...a great heaving thing rises in her and she puts her fist to her mouth to stifle it, takes a final desperate look, pulls her coat about her, pats her hat, and goes out." This passage shows Mama's internal conflict, as she is torn between leaving her home and starting a new life or staying and continuing to struggle. So, the answer is: Internal: Character vs. Self.
Lindner's comments in the passage "I am sure you people must be aware of some of the incidents which have happened in various parts of the city when colored people have moved into certain areas" reveal the conflict experienced by the Younger family, which is external: Character vs. Society.
Now, let's move on to Walter's character revealed through his comments. His comments reveal that he feels stifled and unable to care for his family. He expresses his frustration with his current situation and his desire for a better life for his son. So, the answer is: He feels stifled and unable to care for his family.
As for Walter's growth as a character, the quote "And we have decided to move into our house because my father — my father — he earned it for us brick by brick" highlights his growth. This quote shows that Walter has come to appreciate the sacrifices his father made and is now taking responsibility for his family's future. So, the answer is: WALTER And we have decided to move into our house because my father — my father — he earned it for us brick by brick.
Finally, let's analyze the physical characteristics described in the stage directions for Ruth. The stage directions indicate that Ruth has been defeated by the lack of control over her life. Disappointment has already begun to show on her face, and she is described as a "settled woman." So, the answer is: She has been defeated by the lack of control over her life.
I hope my humorous explanations have helped you understand the central conflict of the play and the characters involved. If you need any more entertaining answers, don't hesitate to ask!