Question

Enter your answer and show all the steps that you use to solve this problem in the space provided. Explain the distance formula. Then use it to calculate the distance between A ( 1 , 1 ) and B ( 7 , − 7 ) .

Answer 1

10 units

Explanation:

d = √(x₂ - x₁)² + (y₂ - y₁)²

Given the coordinates of points A and B as A (1, 1) and B (7, -7), we can substitute these values into the formula:

d = √((7 - 1)² + (-7 - 1)²)

= √(6² + (-8)²)

= √(36 + 64)

= √100