What is the length of a segment with endpoints (-8,-3) and (-3,-8)?

the distance formula in a plane meaning the distance
between two points and a plane is:

If two points are
(x1,y1),(x2,y2)

distance=
sqrt((x1-x2)^2+(y1-y2)^2)

well you could choose either of
the two points as the (x1,y1) point

I will give the example
of choosing (-8,-3) as the (x1,y1) point.

Thus, x1=-8,
y1=-3, x2= -3, y2=-8

substitute all the values into the
equations

distance =
sqrt((-8+3)^2+(-3+8)^2)

=sqrt(25+25)

sqrt
50

=5 sqrt2

The
distance between the two points( the length of the line) with endpoints (-8,-3) and
(-3,-8) is 5 sqrt2.

You could
also make a graph and construct a right triangle to do this
question.