Final answer:
The length of the segment with endpoints L(-1, -3) and M(-6, 9) is 13.
Step-by-step explanation:
To find the length of the segment with endpoints L(-1, -3) and M(-6, 9), we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values from the endpoints, we get:
d = sqrt((-6 - (-1))^2 + (9 - (-3))^2) = sqrt((-5)^2 + (12)^2) = sqrt(25 + 144) = sqrt(169) = 13
Therefore, the length of the segment is 13 units.