**Question:**Find the distance between the two points *[Insert image showing a graph with two points plotted and a right triangle illustrated]The graph depicts a Cartesian coordinate system with the x-axis labeled from -4 to 4 and the y-axis labeled similarly.Two points are marked on the graph:- The first point is at (0, 2)- The second point is at (4, -2)These points are connected by a straight line, and a right triangle is formed by drawing a horizontal line from (0, 2) to (4, 2) and a vertical line from (4, 2) to (4, -2).The length of the horizontal leg of the triangle measures 4 units, and the length of the vertical leg measures 4 units.Using the Pythagorean theorem to find the distance between the two points:\[ \text{Distance} = \sqrt{(4 - 0)^2 + (2 - (-2))^2} \]\[ = \sqrt{4^2 + 4^2} \]\[ = \sqrt{16 + 16} \]\[ = \sqrt{32} \]\[ = 4\sqrt{2} \]**Answer Choices:**A) \( 2\sqrt{5} \)B) \( 2\sqrt{10} \)C) \( 2\sqrt{2} \)D) \( 4\sqrt{2} \)The correct answer is: **D) \( 4\sqrt{2} \)**---**Explanation of Diagram:**The diagram is a graph showing two points and a right triangle whose hypotenuse is the line segment connecting the two points. The horizontal and vertical distances are labeled, showing 4 units each. By calculating the hypotenuse using the Pythagorean theorem, the distance between the two points is determined to be \( 4\sqrt{2} \).

Name: **Question:**Find the distance between the two points *[Insert image
Uploaded: 2024-03-20T06:47:08.000Z
Channel: Bartleby
Description: **Question:**Find the distance between the two points *[Insert image showing a graph with two points plotted and a right triangle illustrated]The graph depicts a Cartesian coordinate system with the x-axis labeled from -4 to 4 and the y-axis labeled