Find the distance between the points (-5, 2) and (-6, 10).
To find the distance between two points, we can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case:
- x1 = -5
- y1 = 2
- x2 = -6
- y2 = 10
Plugging these values into the formula, we get:
Distance = sqrt((-6 - (-5))^2 + (10 - 2)^2)
Distance = sqrt((-1)^2 + 8^2)
Distance = sqrt(1 + 64)
Distance = sqrt(65)
Therefore, the distance between the points (-5, 2) and (-6, 10) is sqrt(65) units.