Determine the distance between the points (−3, −1) and (−9, −10).
square root of 15 units
square root of 113 units
square root of 117 units
square root of 265 units
The distance between two points (x₁, y₁) and (x₂, y₂) can be found by using the distance formula:
- distance = √((x₂ - x₁)² + (y₂ - y₁)²)
Using the given points (-3, -1) and (-9, -10), we can substitute the values into the formula:
- distance = √((-9 - (-3))² + (-10 - (-1))²)
= √((-9 + 3)² + (-10 + 1)²)
= √((-6)² + (-9)²)
= √(36 + 81)
= √117
Therefore, the distance between the two points is √117 units.