Question

if p(0,y) is equidistant from A(2,5) and B (3,7) find the value of y ​

Answer 1

using distance formula

PA = PB

PA ^2 = PB^2

(0 - 2)^2 + (y - 5)^2 = (0 - 3)^2 + (y - 7)^2

4 + y^2 - 10y + 25 = 9 + y^2 - 14y + 49

-10y + 29 = -14y + 58

14y - 10y = 58 - 29

4y = 29

y = 29/4