Answer:
(-7 , 7/2)
Step-by-step explanation:
Given in the question,
point E(-4,14)
x1 = -4
y1 = 14
point G(-8,-2)
x2 = -8
y2 = -2
Location of point F which is 3/4 of the way from E to G
which means ratio of point F from E to G is 3 : 1
a : b
3 : 1
xF = [tex]x1+\frac{a}{a+b}(x2-x1)[/tex]
yF = [tex]y1+\frac{a}{a+b}(y2-y1)[/tex]
Plug values in the equation
xF = -4 + (3)/(3+1) (-8+4)
xF = -7
yF = 14 + (3)/(3+1)(-2-14)
yf = 7/2
