Math Problem Statement

What is the distance between the points shown on the coordinate plane below?

Solution

To find the distance between two points on a coordinate plane, we can use the distance formula:

d=(x2x1)2+(y2y1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

In this formula, (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) represent the coordinates of the two points.

Let's extract the coordinates of the two points from the graph and apply the formula. I will analyze the image now. PIL import Image

Load the uploaded image

image_path = '/mnt/data/17393997640173pmsxl0v.jpg' img = Image.open(image_path) img.show() # Display the image to analyze the graphI've displayed the image to analyze the points on the graph. Now, let's identify the coordinates of the two points.

From the graph:

  • The first point is located at (2,4)(2, -4)
  • The second point is at (6,2)(6, 2)

Now, using the distance formula:

d=(x2x1)2+(y2y1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Substituting the coordinates:

d=(62)2+(2(4))2d = \sqrt{(6 - 2)^2 + (2 - (-4))^2}

Let's calculate the distance. math

Coordinates of the points

x1, y1 = 2, -4 x2, y2

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Distance Formula

Formulas

d = √((x2 - x1)² + (y2 - y1)²)

Theorems

Distance formula in coordinate geometry

Suitable Grade Level

Grades 7-9