Question

NEED HELP ASAP !!

Points V, W, X, Y, and Z are graphed on a number line. The coordinate of point V is 3.

What points are at a distance of 7 units from point V?

Choose all answers that are correct.

A. W = –7
B. X = –4
C. Y = 4
D. Z = 10

Answer 1

-- You've told me that there are 5 houses on a map, and 

-- you've told me the address of one house.

-- You won't show me the map, but

-- you're asking me which houses are 7 miles from that one.

Can you see what's missing here ?

You haven't told me a thing about any of the other points/houses.
I don't even know if any of the others are in the same city as ' V ' is,
or even on the same planet !

Answer 2

So,

We need to find all points that are 7 units from point V.  We can just test which ones are 7 units away by taking the absolute value of the different between their coordinates.

A. W = -7
|-7 - 3| = |-10| ≠ 7

B. X = -4
|-4 - 3| = |-7| = 7

C. Y = 4
|4 - 3| = |1| ≠ 7

D. Z = 10
|10 - 3| = |7| = 7

Points X and Z are 7 units from point V; in fact, points X and Z are the only points at a distance of 7 units from point V.