Question

A grid shows the positions of a subway stop and your house. The subway stop is located at (7,-6) and your house is located at (-9,5). What is the distance, to the nearest unit, between your house and the subway stop?

Answer 1

The distance is
`19\ units`

Explanation:

The formula to calculate the distance between two points is equal to

`d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}`

In this problem

Let

`Subway\ Stop(7,-6)\\House(-9,5)`

substitute the values

`d=\sqrt{(5+6)^(2)+(-9-7)^(2)}`

`d=\sqrt{(11)^(2)+(-16)^(2)}`

`d=√(377)\ units`

`d=19\ units`