On a coordinate grid, your campsite is located at (-8,-6) and the next checkpoint station is located at (-4,-4). If each unit on the grid = 1 mile, how many miles apart are
your campsite and the checkpoint? Round to the nearest hundredth.

The distance between campsite and checkpoint is: 4.47 miles

Step-by-step explanation:

Given that the coordinates :

Campsite at (-8,-6) and

Next checkpoint at (-4,-4).

To find:

Distance between campsite and checkpoint = ?

Solution:

Let point A be the campsite i.e. A(-8, -6)

Let point B be the next checkpoint i.e. B(-4, -4)

We have to find the distance AB.

We can use Distance formula  to find the distance between two points on xy coordinate plane:

So, the distance between campsite and checkpoint is: 4.47 miles