Question

A grid shows the position of a subway stop and your house. The subway stop is located at (-10,-1) and your house is located at (-18,-16).What is the distance between your house and the subway stop?

Answer 1

Explanation

Let's locate those points into a grid:

Subway stop: (-10, -1)

House: (-18, -16)

We can use Pythagoras theorem to find the distance d (in green in the graph)

But first, we have to find a and b.

a is the vertical distance between your house and the subway stop:

`a=-1-(-16)=-1+16=15`

b is the horizontal distance between the subway stop and your house:

`b=-10-(-18)=-10+18=8`

By the Pythagoras theorem, the distance d is:

`\begin{gathered} d^(2)=a^(2)+b^(2) \\ d=\sqrt[]{15^(2)+8^(2)}=\sqrt[]{225+64}=\sqrt[]{289}=17 \end{gathered}`

Answer

The distance between your house and the subway stop is 17