Mathematics, 13.12.2019 21:31, tfyvcu5344

Which of the following sets of ordered pairs will create a straight line?
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(3,6) (6, 12) (12, 19) (15, 13)
(-2,4), (-1,8), (0, 12), (1, 16)
(2,9), (1,7), (0, -14), (-1,20)

Answers: 2

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answered: 21hendlill

(-2,4), (-1,8), (0, 12), (1, 16) is a set of points in a straight line

Step-by-step explanation:

Points On A Line

If we are given a set of points (x1,y1),(x2,y2)(x3,y3),... they are part of a line if, between each pair of them, the slope is constant. The slope of a line, given two points, is

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

We are given these sets of points

(3,6) (6, 12) (12, 19) (15, 13)

(-2,4), (-1,8), (0, 12), (1, 16)

(2,9), (1,7), (0, -14), (-1,20)

Let's try the first one

(3,6) (6, 12) (12, 19) (15, 13)

The first slope is

$\displaystyle m_1=\frac{12-6}{6-3}=2$

The next slope is

$\displaystyle m_2=\frac{19-12}{12-6}=\frac{7}{6}$

Both values are different, so the set is not part of a line

Now for the second set

(-2,4), (-1,8), (0, 12), (1, 16)

Here are the slopes

$\displaystyle m_1=\frac{8-4}{-1+2}=4$

$\displaystyle m_2=\frac{12-8}{0+1}=4$

$\displaystyle m_3=\frac{16-12}{1-0}=4$

All of them are equal, so these points lie in the same line

The third set of points results are

$\displaystyle m_1=\frac{7-9}{1-2}=2$

$\displaystyle m_2=\frac{-14-7}{0-1}=21$

The slopes are different. This set is not part of a line

answered: Guest

answer: segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students. an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality. in the case of brown v. board of education, that standard was challenged and defeated. segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to education. this was being violated by states whose laws supported the segregation of schools. section 1 of the 14th amendment reads as follows:

all persons born or naturalized in the united states and subject to the jurisdiction thereof, are citizens of the united states and of the state wherein they reside. no state shall make or enforce any law which shall abridge the privileges or immunities of citizens of the united states; nor shall any state deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the equal protection of the laws.

answered: Guest

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (