Question

Find an equation relating to x and y that give you (x,y) which is equidistant from (2,7) and (3,-4).

The Wording is a bit off, but the values are exact.

Answer 1

\[P(2,7)\]\[Q(x,y)\]
\[R(3,-4)\]
\[PQ^2,and, RQ^2\]

Answer 2

find

Answer 3

\[(2-x)^2+(y-7)^2=PQ^2\]
\[(3-x)^2+(-4-y)^2=QR^2\]
\[PQ^2=RQ^2\]

Answer 4

(y+4)^2

Answer 5

what is wrong with \[(x-2)^2+(y-7)^2=(x-3)^2+(y+4)^2\]?

Answer 6

nothing, visual and alternate method.