Use the image to answer the question.

Question

A graph shows quadrant 1 with the x-axis and y-axis ranging from 0 to positive 9.

Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth.

Answer 1

To use the Pythagorean Theorem to find the length between two points in a coordinate system (for example, \( A(x_1, y_1) \) and \( B(x_2, y_2) \)), you can use the formula:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

1. Identify the coordinates of the two points, \( A \) and \( B \).
2. Plug the coordinates into the formula.
3. Compute the values and round to the nearest hundredth.

If you provide me with the coordinates of the two points, I can help you calculate the length.