A grid shows the positions of a subway stop and your house. The subway stop is located at (-1, 9) and your house is located at (2, -4). What is the distance, to the nearest unit, between your house and the subway stop?
Using the distance formula, we have:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
d = √[(2 - (-1))^2 + (-4 - 9)^2]
d = √[3^2 + (-13)^2]
d = √(9 + 169)
d = √178
To the nearest unit, the distance between your house and the subway stop is 13.
To find the distance between two points on a grid, we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the subway stop are (-1, 9) and the coordinates of your house are (2, -4). Plugging these values into the distance formula, we get:
d = sqrt((2 - (-1))^2 + (-4 - 9)^2)
= sqrt((3)^2 + (-13)^2)
= sqrt(9 + 169)
= sqrt(178)
Therefore, the distance between your house and the subway stop, to the nearest unit, is approximately sqrt(178), or about 13.34 units.