elenamelvin
elenamelvin elenamelvin
  • 18-08-2018
  • Mathematics
contestada

find the coordinates of the missing endpoint if M is the midpoint of XY: M(-4,8), Y(19,0)

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MrGumby
MrGumby MrGumby
  • 31-08-2018

The coordinates of X would be (-27, 16)

In order to find this, we need to know that the value of M's points will always be the average of X and Y's points. This is because it is the midpoint. Therefore we can use the following formula.

Value of x coordinate

(X + Y)/2 = M

(X + 19)/2 = -4

X + 19 = -8

X = -27

Then we can do the same for the y values

Value of y coordinate

(X + Y)/2 = M

(X + 0)/2 = 8

X + 0 = 16

X = 16

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