Since and lies on the line, that means .
The distance from to is .
So
or
or .
Since , that means the two possible values for are and .
Hopefully this is the right section to be posting this...
The point (h, k) lies on the the line y=x+1 and is 5 units from the point (0, 2). Write down two equations connecting h and k and hence find the possible values of h and k.
Thanks in advance to anyone who can help.