What are the coordinates of D if E(-6, 4) is the midpoint of DF and F has coordinates (-5, -3)?

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Answer 1 · 2018-04-28T10:52:48

# D(x,y)=D(-7,11)#.

Let, #D=D(x,y)#.

Given that #F=F(-5,-3)#.

By the Section Formula, then, the mid-point #E# of #DF# must be,

#E((x-5)/2,(y-3)/2)#, which is given to be #E=E(-6,4)#.

#:. (x-5)/2=-6, and, (y-3)/2=4#.

#:. x=2(-6)+5=-7," and, likewise, "y=11#.

#:. D(x,y)=D(-7,11)#.