Question 124881
Find the coordinates of point M algebraically: if it is equidistant from the points (-8, 8) and (6,1) and if it's y-coordinate is already shown to be -6.
-----------------
Let the missing point be (x,-6)
It's distance from each of the given points is the same.
----------------
EQUATION:
sqrt((x+8)^2 + (-6-8)^2) = sqrt((x-6)^2 + (-6-1)^2)
x^2+16x+4 + 196 = x^2-12x+36 + 49
28x = -115
x = -4.107143..
=================
Cheers,
Stan H.