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?

19
29
24
21

Answer 1

9

Explanation:

Answer 2

19

Explanation:

As shown in the attached picture, the distance in units for vertical side of the triangle is 11 units and horizontal side is 16 units.

Distance between subway and home is the hypotenuse of the right triangle shown.

We can use the Pythagorean Theorem to find the distance.

`c^2=a^2+b^2\\distance^2=11^2+16^2\\distance^2=377\\distance=√(377)\\ distance=19.42`

19.42 rounded is 19 units.

First answer choice is right.