Final answer:
To find the distance between two points, use the distance formula and plug in the coordinates.
Step-by-step explanation:
To find the distance between the two points (-8, -3) and (-2, -5), you can use the distance formula. The distance formula is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values for the x and y coordinates, you get:
d = sqrt((-2 - (-8))^2 + (-5 - (-3))^2)
Simplifying the equation gives:
d = sqrt((-2 + 8)^2 + (-5 + 3)^2)
Finally, evaluating the equation:
d = sqrt((6)^2 + (-2)^2) = sqrt(36 + 4) = sqrt(40)
Rounding to the nearest hundredth, the distance is approximately 6.32 units.
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