Answer:
the distance between points M and P
Step-by-step explanation:
we know that
The distance between two points in a number line is equal to the absolute value of the difference of the x-coordinates of the points
so
Find distance LM
[tex]dLM=\left|-7-(-1)\right|[/tex]
[tex]dLM=\left|-7+1\right|[/tex]
[tex]dLM=\left|-6\right|[/tex]
[tex]dLM=6\ units[/tex]
Find distance MN
[tex]dMN=\left|-1-2\right|[/tex]
[tex]dMN=\left|-3\right|[/tex]
[tex]dMN=3\ units[/tex]
Find distance NP
[tex]dNP=\left|2-6\right|[/tex]
[tex]dNP=\left|-4\right|[/tex]
[tex]dNP=4\ units[/tex]
Find distance MP
[tex]dMP=\left|-1-6\right|[/tex]
[tex]dMP=\left|-7\right|[/tex]
[tex]dMP=7\ units[/tex]