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

Step-by-step 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