Find the distance between the points (-5, 2) and (-6, 10).
A. The vertical distance is 11 and the horizontal distance is 12; answer approximately 16.3 units
B. The vertical distance is 8 and the horizontal distance is 1; answer approximately 8.1 units
C. The vertical distance is 1 and the horizontal distance is 8; answer approximately 8.1 units
D. The vertical distance is 12 and the horizontal distance is 11; answer approximately 16.3 units
To find the distance between two points, we use the distance formula:
√((x₂ - x₁)² + (y₂ - y₁)²)
In this case, the points are (-5, 2) and (-6, 10).
Vertical distance = 10 - 2 = 8
Horizontal distance = -6 - (-5) = -1
Plugging these values into the formula:
√((-1)² + 8²)
√(1 + 64)
√65
Therefore, the distance between the points is approximately 8.1 units.
So, the correct answer is B. The vertical distance is 8 and the horizontal distance is 1; answer approximately 8.1 units.