Final answer:
The distance between the points K(-1, -1) and L(-8, -7) in the coordinate plane is sqrt(85).
Step-by-step explanation:
To calculate the distance between two points in the coordinate plane, we use the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
For the given points K(-1, -1) and L(-8, -7), we substitute the values into the formula:
d = sqrt((-8 - (-1))^2 + (-7 - (-1))^2)
= sqrt((-7)^2 + (-6)^2)
= sqrt(49 + 36)
= sqrt(85)
Therefore, the distance between K and L is sqrt(85).