A grid shows the positions of a subway stop and your house the subway stop is located at (-3,6) and your house is located at (-7,2) what is the distance to the nearest unit between your house and the subway stop
Answers
6
11
9
13
Use your distance between 2 points formula
To find the distance between your house and the subway stop, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and allows us to find the distance between two points on a grid.
The distance formula is:
Distance = √((x2 - x1)² + (y2 - y1)²)
Let's plug in the coordinates of the subway stop (-3,6) and your house (-7,2) into the formula:
Distance = √((-3 - (-7))² + (6 - 2)²)
= √((-3 + 7)² + (6 - 2)²)
= √(4² + 4²)
= √(16 + 16)
= √32
≈ 5.65
So, the distance to the nearest unit between your house and the subway stop is approximately 5.65 units.