Question

Which points are separated by a distance of 6 units?
1) (5,6), (5,5)
2) (2,4), (2,2)
3) (1,8), (1,2)
4) (3,1), (3,6)

Answer 1

Answer:   (1,8), (1,2)

Explanation

The x coordinates are the same, so we ignore them. Focus on the y coordinates only. Subtract them to get 8-2 = 6. Apply absolute value if the result is negative (recall negative distance isn't allowed). The distance from 8 to 2 on the number line is 6 units. Therefore, the distance between (1,8) and (1,2) is also 6 units.

The distance formula could be used, but I think it's overkill in this problem.