Question

Find the distance between the two points shown in the coordinate plane.

A. 2/10
B. 2/2
C. 2/6
D. 6/2

Answer 1

The correct answer is D. 6√2

Explanation:

For calculating the distance between these two points in the coordinate plane, we use the Pythagorean theorem.

Then, this is the calculation:

Distance = √(x_2 - x_1)² + (y_2 - y_1)²

Distance = √(4 -(-2))² + (-2 - 4)²

Distance = √(4 + 2)² + (-2 - 4)²

Distance = √(6)² + (-6)²

Distance = √36 + 36

Distance = √72

Distance = √36 * 2 (Breaking down 72)

Distance = 6√ 2

The distance between A and B in this exercise is 6√ 2