Question

Find the distance AB:

A = (-2, 1) and B = (5, -4)
Simplify.
d = √(5− −2)² + (−4 − 1)²

A. √74
B. √24
C. √-16

Answer 1

The formula to calculate the distance:

d = √(x₂ - x₁)² + (y₂ - y₁)²

The points are:

• (x₁,y₁) = -2, 1
• (x₂,y₂) = 5, -4

We substitute and solve:

d = √(-5(-2))² + (-4-1)²

d = √7² + (-5)² = √49 + 25

d = √74 ====> Alternative "A"