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

Answer: 19 units

Step-by-step 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 :-

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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

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

Answer 2

Use the distance formula!

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

=19.4165