Final answer:
The distance of the line segment formed by (4,-5) and (3,-6) is approximately 1.41 units.
Step-by-step explanation:
find the distance of the line segment formed by (4,-5) and (3,-6), we use the distance formula.
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Applying the formula, we get:
Distance = sqrt((3 - 4)^2 + (-6 - (-5))^2)
Distance = sqrt((-1)^2 + (-1)^2)
Distance = sqrt(1 + 1)
Distance = sqrt(2)
Therefore, the distance of the line segment is approximately 1.41 units.