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Problem

Which distance measures 7 units?

4.9

(208 votes)

University teacher - Tutor for 8 years

points L: -7

points M: -1

points N: 2

points P: 6

Choices: 1.the distance between points L and M; 2.the distance between points L and N; 3.the distance between points M and N; 4.the distance between points M and P;

**4.the distance between points M and P.**

To determine which distance measures 7 units, we calculate the distances between the given points on a number line. The positions of the points L, M, N, and P are given as -7, -1, 2, and 6, respectively. The distance between two points on a number line can be found by taking the absolute difference of their values.

**1. The distance between points L and M:**

\[ \text{Distance} = |L - M|\]

\[= |-7 - (-1)| \]

\[= |-7 + 1| \]

\[= |-6| \]

\[= 6 \, \text{units} \]

**2. The distance between points L and N:**

\[ \text{Distance} = |L - N| \]

\[= |-7 - 2| \]

\[= |-9| \]

\[= 9 \, \text{units} \]

**3. The distance between points M and N:**

\[ \text{Distance} = |M - N| \]

\[= |-1 - 2| \]

\[= |-3| \]

\[= 3 \, \text{units} \]

**4. The distance between points M and P:**

\[ \text{Distance} = |M - P| \]

\[= |-1 - 6| \]

\[= |-7| \]

\[= 7 \, \text{units} \]

**Conclusion:** The distance that measures 7 units is **the distance between points M and P**. Therefore, the correct answer is choice 4: the distance between points M and P.

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