Question

What is the length of the line segment with endpoints (-3,4.5) and (5, 4.5)?

Answer 1

Length: `color(green)8` units

Explanation:

The easiest way to see this is to note that both points are on the same horizontal line (`y=4.5`) so the distance between them is simply
`color(white)("XXX")abs(Deltax)=abs(-3-5)=8`

If you really want you could use the more general distance formula:
`color(white)("XXX")"distance" = sqrt((Deltax)^2+(Deltay)^2)`

`color(white)("XXXXXXXX")=sqrt((-3-5)^2+(4.5-4.5)^2)`

`color(white)("XXXXXXXX")=sqrt((-8)^2+0^2)`

`color(white)("XXXXXXXX")=sqrt(64)`

`color(white)("XXXXXXXX")=8`