Find a point on the y-axis that is equidistant from the points A(5, -2) and B(-3, 2).

Question

Accepted Answer

(0, -2). Let point be (0, y). (0-5)^2 + (y+2)^2 = (0+3)^2 + (y-2)^2. So 25 + y^2 + 4y + 4 = 9 + y^2 - 4y + 4. Then 29 + 4y = 13 - 4y, 8y = -16, y = -2. Point is (0, -2).

Find a point on the $y$ -axis that is equidistant from the points A(5, -2) and B(-3, 2).

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