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?
Just use your distance formula:
d^2 = (7+9)^2 + (-6-5)^2
To calculate the distance between two points in a grid, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) represents the coordinates of one point, and (x2, y2) represents the coordinates of the other point.
In this case, the coordinates of the subway stop are (7, -6), and the coordinates of your house are (-9, 5). Let's plug the values into the formula:
Distance = √((7 - (-9))^2 + (-6 - 5)^2)
= √((7 + 9)^2 + (-6 - 5)^2)
= √(16^2 + (-11)^2)
= √(256 + 121)
= √377
≈ 19.4
Therefore, the distance between your house and the subway stop, to the nearest unit, is approximately 19 units.