195k views
4 votes
when you use the distance formula does the order in which you subtract the x and y coordinates matter explain

User Ceorron
by
8.3k points

1 Answer

4 votes
no it does not

as long as you subtract the x's from the x's and y's from the y's

consider

D=√((x_2-x_1)^2+(y_2-y_1)^2)
and

D=√((x_1-x_2)^2+(y_1-y_2)^2)

alright, lets say x2-x1=z and x1-x2=-z
also y2-y1=t and y1-y2=-t

if we subsituted then we get


D=√((z)^2+(t)^2)
and

D=√((-z)^2+(-t)^2)

which simplifies to


D=√(z^2+t^2)
and

D=√(z^2+t^2)

the same thing
because the square of a negative becomes positive
so it doesn't matter
User Viuser
by
8.2k points