How to Find Distance Between Two Points in Desmos
In today’s digital age, educational tools like Desmos have revolutionized the way students learn and understand complex mathematical concepts. One such concept is finding the distance between two points on a coordinate plane. Desmos, a powerful graphing calculator, provides an intuitive and interactive way to calculate distances. In this article, we will explore the step-by-step process of finding the distance between two points in Desmos.
Step 1: Accessing Desmos
The first step to finding the distance between two points in Desmos is to access the platform. You can either visit the Desmos website or download the app on your smartphone or tablet. Once you have Desmos open, you will see a blank coordinate plane.
Step 2: Entering the Points
To calculate the distance between two points, you need to know their coordinates. For example, let’s say we have two points, A(2, 3) and B(5, 7). To enter these points in Desmos, simply click on the “Graph” button on the top menu bar. Then, click on the “Add Function” button, which looks like a small plus sign.
Step 3: Plotting the Points
After adding a function, you will see a new input field. Enter the x-coordinate of the first point, followed by a comma and the y-coordinate. In our example, we would enter “2, 3” in the input field. Press “Enter” to plot the first point on the coordinate plane. Repeat this process for the second point, B(5, 7).
Step 4: Using the Distance Formula
Now that both points are plotted on the coordinate plane, you can use the distance formula to calculate the distance between them. The distance formula is given by:
Distance = √((x2 – x1)^2 + (y2 – y1)^2)
In our example, the distance between points A(2, 3) and B(5, 7) can be calculated as follows:
Distance = √((5 – 2)^2 + (7 – 3)^2)
Distance = √(3^2 + 4^2)
Distance = √(9 + 16)
Distance = √25
Distance = 5
Step 5: Displaying the Result
To display the result in Desmos, you can create a new function that represents the distance formula. In the input field, enter the following:
Distance = √((x2 – x1)^2 + (y2 – y1)^2)
Replace x1, x2, y1, and y2 with the coordinates of the two points. In our example, the function would be:
Distance = √((5 – 2)^2 + (7 – 3)^2)
After pressing “Enter,” you will see the calculated distance, which is 5, displayed on the coordinate plane.
In conclusion, finding the distance between two points in Desmos is a straightforward process that involves plotting the points, using the distance formula, and displaying the result. With the help of Desmos, students can visualize and understand the concept of distance in a more engaging and interactive manner.
