Question

Calculate the distance between the points K-(1,-1) and L-(8,-7) in the coordinate plane. Give an exact answer (not a decimal approximation).

A) √65
B) √61
C) √57
D) √53

Answer 1

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