Find the point on the y-axis which is equidistant from the points $(6, 2)$ and $ (2, 10)$. Find the point on the y-axis which is equidistant from the points $(6, 2) $ and $ (2, 10)$.
Please help, there are no examples of this kind of sum in my book! I don't know how to solve it.

Find the locus of all the points that are equidistant from the points $(6, 2)$ and $(2, 10)$, that is, the line that passes through the middle point of $(6, 2)$ and $(2, 10)$. All the points of that line are equidistant from both points.
You are looking for the point that satisfies two condition: (1) It's equidistant from both points and (2) it's in the Y axis (the x=0 line). Therefore, the point you are looking for is the intersection of the two lines.
