Respuesta :
Answer:
The correct option is 4.
Step-by-step explanation:
It is given that DF and EF form a 1:3 ratio. The coordinates of the end points of the segment DE are D(-3,-3) and E(2,4).
According to the section formula, if a point p divides a line in m:n, then the coordinates of p are
[tex](\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]
y value for point F is calculated as
[tex]y=\frac{(1)y_2+(3)y_1}{1+3}[/tex]
The end points of the segment DE are D(-3,-3) and E(2,4).
[tex]y=\frac{(1)(4)+(3)(-3)}{4}[/tex]
[tex]y=\frac{4-9}{4}[/tex]
[tex]y=\frac{-5}{4}[/tex]
[tex]y=-1.25[/tex]
The y- value for point F is -1.25. Therefore the correct option is 4.
