a grid shows the positions of a subway stop and your house the subway stop is located at (4,-2) and your house is located at(-9,-6) what is the distance to the nearest. unit between your house and the subway
To find the distance between two points on a grid, we can use the distance formula, which is:
d = √((x2 - x1)² + (y2 - y1)²)
Given that the coordinates of the subway stop are (4, -2) and the coordinates of your house are (-9, -6), we can plug these values into the formula:
d = √((4 - (-9))² + (-2 - (-6))²)
d = √((4 + 9)² + (-2 + 6)²)
d = √(13² + 4²)
d = √(169 + 16)
d = √185
d ≈ 13.60
Therefore, the distance between your house and the subway stop is approximately 13.60 units.