Question

use the number line to find the indicated distance.

1. jk
2. kl
3. lm
4. jl
5. jm
6. km

Explanation:

First, identify the coordinates of each point from the number line:

• $J = -8$
• $K = -3$
• $L = 1$
• $M = 7$

Distance between two points on a number line is calculated as $|x_2 - x_1|$ (absolute value of the difference of their coordinates).

Step1: Calculate $JK$

$|K - J| = |-3 - (-8)| = |5| = 5$

Step2: Calculate $KL$

$|L - K| = |1 - (-3)| = |4| = 4$

Step3: Calculate $LM$

$|M - L| = |7 - 1| = |6| = 6$

Step4: Calculate $JL$

$|L - J| = |1 - (-8)| = |9| = 9$

Step5: Calculate $JM$

$|M - J| = |7 - (-8)| = |15| = 15$

Step6: Calculate $KM$

$|M - K| = |7 - (-3)| = |10| = 10$

Answer:

1. $JK = 5$
2. $KL = 4$
3. $LM = 6$
4. $JL = 9$
5. $JM = 15$
6. $KM = 10$