Question

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.

Answer 1

The distance between campsite and checkpoint is: 4.47 miles

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:

`D = √((x_2-x_1)^2+(y_2-y_1)^2)`

`x_1 = -8\\y_1 = -6\\x_2 = -4\\y_2 = -4`

`AB = √((-4-(-8))^2+(-4-(-6))^2)\\\Rightarrow AB = √(4^2+2^2)\\\Rightarrow AB = √(16+4)\\\Rightarrow AB = √(20)\\\Rightarrow \bold{AB=4.47}`

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