Respuesta :
The value of y- coordinate is 5.
The correct option is c.
Section formula;
The section formula helps to determine the coordinates of a point that facilitates the division of the line that joins two points in a ratio.
Given
The y-coordinate of the point divides the directed line segment from J to K into a ratio of 2:3.
The formula is used to calculate coordinates of a point is;
[tex]\rm y=\dfrac{m}{m+n}(y_2-y_1)+y_1[/tex]
Where, m = 2, n = 3, y1 = 1, y2 = 11
Substitute all the values in the formula;
[tex]\rm y=\dfrac{m}{m+n}(y_2-y_1)+y_1\\\\y = \dfrac{2}{2+3}(11-1)+1\\\\y= \dfrac{2}{5}(10)+1\\\\y=\dfrac{20}{5}+1\\\\y=4+1\\\\y=5[/tex]
Hence, the value of y- coordinate is 5.
To know more about the section formula click the link given below.
https://brainly.com/question/13905578
