Respuesta :
Answer:
-0.3
Step-by-step explanation:
I think it is -0.3 because the other ones wouldn't make any sense if you put in on the number line but I'll come back when I finish the test to tell you if its right :)
Edit** It is correct I just took the test :)
For the point that divides the line segment XY into a ratio of 1:2,
Y value is -0.3.
Option A is correct
What is section formula?
In coordinate geometry, Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. It is used to find out the centroid, incenter and ex-centers of a triangle.
Given point
X = ([tex]x_{1},y_{1}[/tex]) = (-6,-1)
Y = ([tex]x_{2} ,y_{2}[/tex]) = (5,1)
Ratio = 1:2
For point (x1, y1) and (x2, y2) on coordinate plane if is divided in ratio of m:n.
Then section formula is given by [tex](\frac{mx_{2}+nx_{1} }{m+n},\frac{my_{2}+ny_{1} }{m+n})[/tex].
Using the section formula,
[tex](\frac{mx_{2}+nx_{1} }{m+n},\frac{my_{2}+ny_{1} }{m+n})[/tex]
= [tex](\frac{(1)(5)+2(-6)}{1+2} , \frac{1(1)+2(-1)}{1+2})[/tex]
= [tex](\frac{5-12}{3} ,\frac{1-2}{3})[/tex]
= [tex](\frac{-7}{3} ,\frac{-1}{3})[/tex]
x = -2.3 and y = -0.3
For the point that divides the line segment XY into a ratio of 1:2,
y value is -0.3.
Option A is correct
Find out more information about section formula here
https://brainly.com/question/17192794
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