Question

The expression below represents the distance between two points on a number line.

|
−
5
−
4
|

Which number line shows the two points?

A.
The number line between -9 and 8 shows point a at -5 and point b at 4.

B.
The number line between -9 and 8 shows point a at -5 and point b at -4.

C.
The number line between -9 and 8 shows point a at -9 and point b at 4.

D.
The number line between -9 and 8 shows point a at 4 and point b at 5.

Answer 1

The expression \(|-5 - (-4)|\) can also be written as \(|-5 + 4| = |-1| = 1\). This expression represents the distance between the two points, which are -5 and -4.

Therefore, the correct number line that shows the two points is:

**B. The number line between -9 and 8 shows point a at -5 and point b at -4.**