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Chapter 2: Problem 75

In your own words, describe how to find the distance between two points in the rectangular coordinate system.

Short Answer

Expert verified
The distance between two points in a rectangular coordinate system can be calculated using the distance formula \(d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\).

Step by step solution

01

Understand the Concept

The first step involves understanding what the rectangular coordinate system is. It is a two-dimensional graph with two axes, namely x and y. Every point in the system can be represented as (x, y).
02

Identify the Points

The next step is to identify the two points between which the distance is to be measured. Label these points A and B, with their respective coordinates as (x1, y1) for A and (x2, y2) for B.
03

Apply the distance formula

Using the distance formula, \(d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\), calculate the distance by substituting the values of x1, x2, y1, and y2 from your identified points.
04

Solve the equation

Finally, solve the equation generated in Step 3. This will be your distance between points A and B.

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