Question

On a map's coordinate grid, Milton City is located at (-4,-3) and McDanielsville is located at(4, -9). How long is a train's route as the train travels along a straight line from Milton City to McDanielsville?

Answer 1

Given :

On a map's coordinate grid, Milton City is located at (-4,-3) and McDanielsville is located at(4, -9).

To Find :

How long is a train's route as the train travels along a straight line from Milton City to McDanielsville .

Solution :

We need to find the distance between points (-4,-3) and (4,-9) .

Now , distance between two points (x,y) and (a,b) is given by :

`D=√((x-a)^2+(y-b)^2)`

For points (-4,-3) and (4,-9) distance between them is :

`D=√((4-(-4))^2+(-9-(-3))^2)\\\\D=√(8^2+6^2)\\\\D=10 \ units`

Therefore , distance travelled by train is 10 units .

Hence , this is the required solution .