Final answer:
The peak moment in the modern civil rights movement occurred with the March on Washington in 1963. This march aimed to pressure the federal government to pass civil rights legislation and address economic inequalities for African Americans.
Step-by-step explanation:
The peak moment in the modern civil rights movement occurred with the March on Washington in 1963. This march, also known as the March on Washington for Jobs and Freedom, was a coordinated effort between the leading civil rights organizations and aimed to pressure the federal government to pass civil rights legislation and address economic inequalities for African Americans. It is best remembered for Martin Luther King Jr.'s iconic 'I Have a Dream' speech.