Find an equation of the set of points in the Cartesian plane that are equidistant from the point (-1,1) and the line y=x.
Hello, chaddy!
Find an equation of the set of points in the Cartesian plane
that are equidistant from the point and the lineCode:| | P | *(x,y) * / \ * A / | \ * * | \ * (-1,1) | * | * B | * - - - - * - - - - - - - - * | * |
The distance from point to point
. . is given by: .
The distance from a point to a line
. . is given by: .
Hence, the distance from to the line
. . is given by: .
Since , we have: .
Now simplify . . .