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Let X,Y and Z be points such that $$\frac{XZ}{XY} = \frac{ZY}{XY} = \frac{1}{2}.$$If Y=(1,7), Z=(-1,-7), then what is the sum of the coordinates of X?

Apr 9, 2020

#1
+4569
+1

Based in the question, it is to see that point Z is the midpoint of line XY.

(x+1) / 2 = -1    x+1=-2,  x=-3

(y+7) / 2 = -7,  y+7=-14,  y=-21

(-3,-21)

Apr 10, 2020

#1
+4569
+1

Based in the question, it is to see that point Z is the midpoint of line XY.

(x+1) / 2 = -1    x+1=-2,  x=-3

(y+7) / 2 = -7,  y+7=-14,  y=-21

(-3,-21)

tertre Apr 10, 2020