Question

A grid shows the positions of a subway stop and your house. The subway stop is located at (-7, 8) and your house is located at (6, 4). What is the distance, to the nearest unit, between your house and the subway stop?

Answer 1

Distance between (-7, 8) and (6, 4)
= √ [ (4-8)^2 + (6-(-7))^2 ]
= √ [ (-4)^2 + (13)^2 ]
= √ [ 16 + 169 ]
= √ [ 185 ]
= 13.60
which is 14 units

Answer 2

Distance is 13.6 units.

Explanation:

Given a grid shows the positions of subway stop and house. The subway stop is located at (-7, 8) and house is located at (6, 4).

we have to find the distance between house and the subway stop.

Points are (-7, 8) and (6, 4).

Using distance formula,

`D=√((x_2-x_1)^2+(y_2-y_1)^2)\\\\=√((6-(-7))^2+(4-8)^2)\\\\=√((13)^2+16)\\\\=√(169+16)=√(185)=13.60147\sim13.6units.`

Hence, distance between house and the subway stop is 13.6 units.