So the region would become a slave-free state
they wanted to create an antislavery majority there.
Kansas-Nebraska act
At best, to buy cheap properties there, in order to qualify as voters in this thinly-populated state, and swing the vote against slavery. At worst, to intimidate local citizens into voting against slavery, and to cause maximum disruption to the elections, declaring all ballots to be rigged.
Carpetbagger
The Abolitionists thought it was terrible, because it could allow new slave-states. Other Northerners thought it was a reasonable solution to the slave-debate, but did not see the flaw - one state voting at a time would attract every bully-boy from both sides to intimidate voters. Hence 'Bleeding Kansas'.
Kansas was settled around 1850 with the Kansas-Nebraska Act. =)
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They strongly disapproved of the act.
they wanted to create a majority antislavery place
It violated the Missouri Compromise.
The Kansas-Nebraska Act of the U.S. Congress said voters in these territories to choose whether they would allow slavery or not. Thousands of antislavery northerners went into Kansas and voted to forbid slavery, then returned home.
The Kansas-Nebraska Act also led to "Bleeding Kansas," a mini civil war that erupted in Kansas in 1856. Northerners and Southerners flooded Kansas in 1854 and 1855, determined to convert the future state to their view on slavery.
False.
Because it could have allowed some new slave-states in the West.
They got to choose whether the territory would have slavery by the way of popular sovereignty, which is the people get to have the choice.
To Kansas, to buy cheap properties, so that they could register as voters, and try to get Kansas admitted to the USA as free soil under the Popular Sovereignty (local voting) principle.
northerners refused to listen to the law