Final answer:
The distance between the points (-8, -2) and (6, -1) is approximately 14.03, which rounds to 14.0 to the nearest hundredth.
Step-by-step explanation:
To find the distance between two points in a coordinate system, we can use the distance formula which is d = sqrt((x2-x1)^2 + (y2-y1)^2).
In this case, the coordinates are (-8, -2) and (6, -1). So, we substitute the values into the formula:
d = sqrt((6-(-8))^2 + (-1-(-2))^2) = sqrt(14^2 + 1^2) = sqrt(196 + 1) = sqrt(197) ≈ 14.03
Therefore, the distance between the two points is approximately 14.03, which rounds to 14.0 to the nearest hundredth. So, the correct answer is b. 14.0.