Find the equation of all points, P(x,y), which are aquidistant from the points A(-3,6) and B(2,1).
Thanks
Call one of the points that you are seeking (x, y). Then we will derive a relationship between x and y such that you can find all such points.
The distance between A and (x, y) is
The distance between B and (x, y) is
We want (x, y) such that these are equal, so
I'll let you simplify it.
-Dan
Hello, DINOCALC09!
I bet you already know enough to solve this . . .
Find the equation of all points, , which are equidistant
from the points and
You know the Distance Formula, right?
Distance
Distance
Since these distances are equal: .
Square both sides: .
Expand: .
And this simplifies to: .