# TSI Math: Calculating Segment Length with the Distance Formula

How long is the line segment connecting the points (-6, 7) and (5, -4)?

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### Transcript

00:22

of formulas and serums the right tool for this job

00:25

you have the distance formula so distance equals all this

00:28

We just need to plug in the given x and

00:30

y coordinates that we're done so we just plug him

00:33

in Well x two let's call that the this five

00:35

right here and that's going to subtract the x one

00:39

there knows you're tracking negative sense positive and then we're

00:42

going to square it We've gotta do that what's in

00:44

the princess first it'll be eleven eleven squared and we're

00:47

going to add that See this negative for minus seven

00:51

tickets us Yeah hold negative eleven inside squared So it's

00:55

square root of eleven squared plus eleven squared and that's

00:59

what is that Two times eleven squared and well let's

01:02

see since the two squared terms are the same you

01:04

don't even need to do any squaring beyond this Instead

01:07

just use the properties of square roots and we get

01:09

d equals square root of two times eleven square there

01:12

orjust back out the eleven and eleven times square root

01:14

of to that's the distance on dh we're done We're 00:01:17.989 --> [endTime] smoked That's it