Line segment AB has endpoints A(1, 2) and B(5, 3). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3

Correct C ( 2, 2.25)

Step-by-step explanation:

Given points A(1,2) and B(5,3)

The formula by which we calculate the coordinates of a point, let be C, that divides the line segment in the given ratio is.

Xc = (Xa + λ · Xb) / (1 + λ)  and  Yc = (Ya + λ · Yb) / (1 + λ)

Where λ is the coefficient which depends on the direction of the ratio in this case is:

λ = 1 : 3 = 1/3

Xc = (1 + (1/3) · 5) / (1 + (1/3)) = (1 + (5/3))/ (4/3) = (8/3) / (4/3) = 2

Xc = 2

Yc = (2 + (1/3) · 3) / (1 + (1/3)) = (2 + 1)/ (4/3) = 3 / (4/3) = 9/4 = 2.25

Yc = 2.25

God is with you!!!

-6 is the correct option from the above given options

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 : (