# ACT Aspire Math: Using the Distance Formula for a Graphed Line

What is the length of the line segment?

ACT Aspire | Math |

ACT Aspire Math | Geometry |

Math | Geometry |

Product Type | ACT Aspire |

Test Prep | ACT Aspire ACT Aspire Math |

### Transcript

Sort of Anything that belongs on a line of inspirational

math posters The end points in this case are negative

Seven negative too right there And then five four right

there Although well that phrasing doesn't quite have that eci

poster idiom feel to it So we just plug these

coordinates into the distance formula This thing here is the

square root of x to minus x one squared plus

y two months like one squared So then we just

plug in the Numbers We got 5 minus and seven

squared plus four months and two squared And then we

simplified and we get twelve squared plus six squared under

the little thing You there and then we got one

forty four plus thirty six One is a total one

eighty square root of one eighty Well we gotta find

square one eighty now who just factor out a few

perfect squares And that's what is that Nine and twenty

And then we take a five and a four out

of twenty there forgets his nine Forty five Well what

do you know Nine in for our perfect squares We

got three squared times Two squared times five All right

so now we take purpose wears out of the radical

and it looks like that So we got well what

is that Three times two times square with a five

or well just six times square with five The length

of line segment is that six times square to five

And if you found that length of line segment was

to liken eh They trick you You may have incorrectly

dealt with the double negatives in the distance formula by

using square root of five minus seven square plus four

minus two spurred instead of the more correct five minus

a negative seven and four months And negative too It's

okay to where the journey is equal to the destination

or something that didn't aerosmith say that