Find the distance between (2, 3)
and (−4, −9)
. Round your answer to the nearest hundredth, if necessary.(1 point)
units
The distance between two points (x1, y1) and (x2, y2) can be found using the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the points are (2, 3) and (-4, -9), so x1 = 2, y1 = 3, x2 = -4, and y2 = -9.
Distance = √((-4 - 2)^2 + (-9 - 3)^2)
Distance = √((-6)^2 + (-12)^2)
Distance = √(36 + 144)
Distance = √180
Distance ≈ 13.42
Therefore, the distance between (2, 3) and (-4, -9) is approximately 13.42 units.