Find the distance between (−8, −3) and (−2, −5) . Round your answer to the nearest hundredth, if necessary.(1 point)

units

1 answer

The distance between two points (x1, y1) and (x2, y2) can be calculated using the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Using this formula, we can calculate the distance between (-8, -3) and (-2, -5):

d = sqrt((-2 - (-8))^2 + (-5 - (-3))^2)
= sqrt((6)^2 + (-2)^2)
= sqrt(36 + 4)
= sqrt(40)
≈ 6.32 units

Therefore, the distance between (-8, -3) and (-2, -5) is approximately 6.32 units.