theviolingirl4939 theviolingirl4939
  • 02-09-2017
  • Mathematics
contestada

Find a point on the y-axis that is equidistant from the points (4, −4) and (1, 1).

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ghanami
ghanami ghanami
  • 07-09-2017
hello : 
a point on the y-axis is : P( 0, y)
PA = PB  or  PA² = PB².... A(4 , -4)    B(1,1)
(4-0)²+(-4-y)² = (1-0)² + (1-y)²
16 +y² +8y +16 = 1 + 1 -2y +y²
10y = -30
y = -3
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