Macbeth's decision to kill Macduff's family causes Macduff to seek revenge, leading to Macbeth's downfall. If Macbeth had chosen differently and not committed this act of violence, Macduff may not have been as determined to bring about Macbeth's demise, potentially altering the course of events.
Macbeth does not reveal his plan to kill Banquo and Fleance (Banquo's son) to Lady Macbeth.
Because Macbeth believes in the prophecies so much, he thinks that he is safe because that is what the witches want him to think. The witches tell Macbeth to beware of Macduff, even though Macbeth thinks he is safe he wants to make sure he iscompletely safe so he decides to kill Macduff and his family but only suceeds in killing Macduffs family not Macduff, and the Macduff takes revenge and kills Macbeth.
Lady Macbeth does not convince Macbeth to kill Macduffs family. She convinces him to kill the King at the start of the play, but after that she has no input in the decisions he makes. Macbeth chooses to have Macduffs family killed so that he may seize the Macduff castle for his own. The witches also tell him to 'beware Macduff' when he visits them and so he feels threatened by him. Macbeth doesn't actually personally kill Macduffs family either, he hires the same thugs that he hires to assassinate Banquo and Fleance to murder him.
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She fainted
Hamartia is a fatal flaw. Macbeth's was his "vaulting ambition".
Macbeth is King Duncan's cousin as well as a general of the king. Later into the play, he becomes king.
The crisis in Macbeth takes place in Act I Scene 7. Macbeth is contemplating murder, and it is unclear whether he will or will not proceed with the murder. His reason tells him not to, but when he communicates that decision to his wife, she pushes all of his emotional buttons and he proceeds despite his better judgement. After that it's all downhill as guilt, insomnia, irrationality and madness engulf the Macbeths. The problem or issue of whether to kill Duncan or not could only have been resolved differently had Lady M failed to persuade Macbeth to commit the crime in Act I Scene 7.
Duncan shows his affection for the Macbeths by giving them gifts. In particular he gives Lady M a jewel.
The witches show Macbeth a procession of Banquo's descendants as kings.
The crucial part. Without Lady Macbeth, this would have been Macbeth's final decision: "We will proceed no further in this business." Macbeth would never have killed Duncan unless Lady Macbeth had goaded him into it.