The coordinates are .
The distance is .
Find the value of :
(Distance formula)
(Substitute
,
and
)
(Add:
)
(Take the square root of each side)
(Cancel squares and roots)
(Evaluate powers:
and
)
(Multiply)
(Subtract
from each side)
(Apply additive inverse property:
)
(Take the square root of each side)
(Cancel square root)
(Substitute:
)
(Subtract
from each side)
(Apply additive inverse property:
)
(Multiply negative sign each sides)
or
(Separate solutions)
or
(Simplify)
The possible values of are
and
.
\
The possible values of are
and
.