Find the distance between the points G(−5, 4) and H(2, 6). The exact distance between the two points is .

Answer 1

We will be using the distance formula for this problem.

d = √(x₂ - x₁)² + (y₂ - y₁)²

Step 1: Identify the x₂ , x₁ , y₂ , y₁ for the problem.

Consider G(-5, 4) to be (x₁ , y₁) and H(2, 6) to be (x₂ , y₂).

Step 2: Plug it into the formula to find the distance between the two points.

d = √(2 - (-5))² + (6 - 4)²

d = √(7)² + (2)²

d = √49 + 4

d = √53