Question

A grid shows the positions of a subway stop and your house. The subway stop is located at (-5, 2) and your house is located at (-9, 9). What is the distance, to the nearest unit, between your house and the subway stop?


8
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18

Answer 1

Do you know the distance formula?

Answer 2

\[\Large \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} \]
where x1, y1= (-5,2)
and x2, y2= (-9,9)

All you have to do is plug in and solve

Answer 3

9?

Answer 4

Do you see the explanation?

Answer 5

If you take the points (x1,y1) and (x2, y2) along the x and y axis, then x1 - x2 shows how far you need to travel along the x axis to get from point 1 to point 2, and y1 - y2 shows how far you need to travel along the y axis to get from point 1 to point two. These two axis are at a right (90 degree) angle to eachother, and as such you can use pythagoras to find the distance. Pythagoras simply says that the length of the sideways bar is the square root of the other two bars cubed.