Question

Find the distance between the points (7, -9) and (2, 3)​

Answer 1

Answer:

13

Step-by-step explanation:

We must use the distance formula. The distance formula is deviated from the pythagorean theorem and works as if the coordinate points form a right triangle.

Distance formula: $\boxed{d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} }$

Solving:

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\\\ d = \sqrt{(2 - 7)^2 + (3 - (-9))^2} \\\\d = \sqrt{(-5)^2 + (3 + 9)^2} \\\\d = \sqrt{25 + 144} \\\\d = \sqrt{169} \\\\\boxed{d= 13}$