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

Use the distance formula!

d = square root of (x2-x1)^2 + (y2-y1)^2

=19.4165

Answer 2

Answer: 19 units

Explanation:

Given: The subway stop is located at (7, -6) and house is located at (-9, 5).

The distance formula to find distance between
`(x_1,y_1)\ and (x_2,y_2)` is given by :-

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Therefore, the distance between house(-9, 5) and the subway stop(7, -6) is given by :-

`d=\sqrt{(7-(-9))^2+(-6-5)^2\\\\\Rightarrow\ d=√((16)^2+(-11)^2)}\\\\\Rightarrow\ d=√(256+121)\\\\\Rightarrow\ d=√(377)\\\\\Rightarrow\ d=19.4164878389\approx19\ units`