She visited Creepy Cavern at (-2, 5), Bernie's Barn at (-3, 2), Sweet Symphonies at (-3, -1), Rock and Roll Hall at (-2, -4), Whimsical Wonders at (3, -4), Mystery Mansion at (3, 2), and Star Gazing Point at (5, 5). Which of these pairs of places are more than 6 units from one another?

We need to find the distance between the pairs of points to know which is greater than 6units. To do that we make use of this formula:

Where and are two points on the line.

Let us denote Creepy Carven with CC, Bernie Barn as BB, Sweet Symphonies as SS, Rock and Roll Hall as RR, Whimsical Wonders as WW, Mysterial Mansion as MM and Star Grazing point as SG.

The distance between CC (-2, 5) and BB(-3, 2) using that formula will be:

Which is

That gives

If we do this for BB to SS we have our value greater than 6, SS to RR our value greater than 6, RR to WW greater than 6, WW to MM is equal to 6 and MM to SG is less than 6.

From here we conclude that the pairs of places greater than 6 is:

BB to SS

SS to RR

RR to WW

WW to MM

c. 4 1/4 pounds