Q. 5TB
Question
The distance between two points in the plane: What is the formula for computing the distance between points \(\left ( x_{1},y_{1} \right ) and \left ( x_{2},y_{2} \right )\)?
Step-by-Step Solution
Verified Answer
The formula for computing the distance between points \(\left ( x_{1},y_{1} \right ) and \left ( x_{2},y_{2} \right )\) is
\(\sqrt{\left ( {x_{2}-x_{1}} \right )^{2}+\left ( y_{2}-y_{1} \right )^{2}}\).
1Step 1. Given Information
The given points are \(\left ( x_{1},y_{1} \right ) and \left ( x_{2},y_{2} \right )\) .
We have to find the formula for the distance between two points in the plane.
2Step 2. Find the distance between two points in the plane
To find the distance between two points in the plane where the points are \(\left ( x_{1},y_{1} \right ) and \left ( x_{2},y_{2} \right )\). Then the formula to find the distance between two points is given:
\(\sqrt{\left ( {x_{2}-x_{1}} \right )^{2}+\left ( y_{2}-y_{1} \right )^{2}}\).
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