Answer:
Below
Step-by-step explanation:
Great! Let's solve this problem step by step. To find the distance between two points in a two-dimensional space (R²), we can use the distance formula:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
Given:
Point A = (-1, 2)
Point B = (-2, 1)
Step 1: Identify the coordinates.
A: x₁ = -1, y₁ = 2
B: x₂ = -2, y₂ = 1
Step 2: Substitute the values into the distance formula.
Distance = √((-2 - (-1))² + (1 - 2)²)
Distance = √((-1)² + (-1)²)
Step 3: Simplify the expression under the square root.
Distance = √(1 + 1)
Distance = √2
Therefore, the distance between points A and B is √2 units.
