Respuesta :
Answer:
( 1, 7.5 )
Step-by-step explanation:
First I found the midpoint of the G and H coordinates. Then I found the midpoint of that new coordinate and G.
The coordinate of point J is given by the section formula with ratio 1: 3 is (1, 7.5).
What is coordinate geometry?
Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of line, etc.
Segment GH has endpoints at G(-2,9) and H(10,3). Point J lies on GH between G and H such that GJ: GH is 1: 3.
Let the coordinate of the J be (x, y).
We know that the section formula is given as
[tex]\rm (x, y) = ( \dfrac{m_1x_2 + m_2x_1}{m_1 + m_2}, \dfrac{m_1y_2 + m_2y_1}{m_1 + m_2})\\\\(x, y) = ( \dfrac{1*10+3(-2)}{1+3}, \dfrac{1*3+ 3*9}{1+3})\\\\(x, y) = ( \dfrac{4}{4}, \dfrac{30}{4})\\\\(x, y) = (1, 7.5)[/tex]
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
