10. Explain why you can use the coordinates of either point as (x, y) when finding the distance between two points.

The distance formula for two points P1: (x1,y1) and P2:  (x2,y2) is:

     d = √( (x2-x1)2 + (y2-y1)2 )

On the number line a and b are the x-coordinates and the y-coordinates are both 0.  The points are  (a,0) and (b,0).

In the Distance Formula, this makes the distance:

   d = √( (x2-x1)2 )

Now, since the square root may have either both positive and negative roots, we write the value as:

     d = ± (x2-x1)

    This is either (x2-x1)  or (-(x2 - x1))

When considering distance (a measurement without a sign attached), we write the positive distance:  |x2 - x1|.

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it