Bot. Find the distance between (2, 3) and (-4, -9). Round your answer to the nearest hundredth, if necessary.
To find the distance between two points (x1, y1) and (x2, y2), you can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Substitute the coordinates into the formula:
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.