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Chapter 2: Problem 61

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

Short Answer

Expert verified
To find the distance between two points in the rectangular coordinate system, identify the coordinates of the points and apply the distance formula, which is \(d = \sqrt{{(x2 - x1)^2 + (y2 - y1)^2}}\), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Step by step solution

01

Identify the coordinates

First, identify the coordinates of the two points. Let's say point A has coordinates (x1, y1) and point B has coordinates (x2, y2). These coordinates represent the position of the points in the rectangular coordinate system.
02

Apply the distance formula

Next, apply the distance formula. The distance \(d\) between two points A(x1, y1) and B(x2, y2) is given by the formula: \(d = \sqrt{{(x2 - x1)^2 + (y2 - y1)^2}}\).
03

Calculate the distance

Finally, calculate the distance by substituting the coordinates of points A and B into the distance formula and simplifying.

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