Final answer:
The distance between the points K-(1,-1) and L-(8,-7) in the coordinate plane is √85.
None of the given options is correct
Step-by-step explanation:
To calculate the distance between points K(1, -1) and L(8, -7) in the coordinate plane, we can use the distance formula.
The distance formula is given by:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
In this case, we have:
x₁ = 1, y₁ = -1
x₂ = 8, y₂ = -7
Substituting the values into the distance formula, we get:
d = √((8 - 1)² + (-7 - (-1))²)
= √(7² + (-6)²)
= √(49 + 36)
= √85
Therefore, the distance between the points K(1, -1) and L(8, -7) is √85.
None of the given options is correct