Look at the number line below.

The number line between -8 and 8 in increment of 2 has a point between -6 and -4 and another point between 0 and 2.
OR
A number has a point at -5 and another point at 1.

Which expression represents the distance, in units, between the two points?

A.

B.

C.

D.

1 answer

To find the distance between two points on a number line, you can use the formula for distance between two points, which is given by:

\[ \text{Distance} = |x_1 - x_2| \]

where \( x_1 \) and \( x_2 \) are the coordinates of the two points.

From your question, we have two scenarios for the points:

  1. If choosing the points between -6 and -4, we could use -6 and -4 as rough estimates, or alternatively, if specific points were chosen like -5 and 1 (as stated in the second option), we would use those.
  • For the first scenario (between -6 and -4):

    • Let's assume the points are -5 and 1.
    • Using the formula:

    \[ \text{Distance} = |-5 - 1| = |-6| = 6 \]

  1. Now, if we are strictly considering the point choices provided:
  • If using -5 (as one point) and 1 (as another), we do the same:

    \[ | -5 - 1 | = | -6 | = 6 \]

Therefore, the distance between the points -5 and 1 is 6 units.

If you have specific options labeled A, B, C, and D with expressions to choose from, please provide those expressions, so I can assist you in identifying the correct one that represents a distance of 6 units.