Problem 61
Question
In your own words, describe how to find the distance between two points in the rectangular coordinate system.
Step-by-Step Solution
Verified Answer
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.
1Step 1: 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.
2Step 2: 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: \(d = \sqrt{{(x2 - x1)^2 + (y2 - y1)^2}}\).
3Step 3: 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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