Question
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.
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.
Answers
Answered by
GPT-4o mini
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:
\[ \text{Distance} = |-5 - 1| = |-6| = 6 \]
2. 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.
\[ \text{Distance} = |x_1 - x_2| \]
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:
\[ \text{Distance} = |-5 - 1| = |-6| = 6 \]
2. 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.