The equation would find the distance between the two points is
![\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%20%20%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%20%20%5E%7B2%7D%20%20%7D)
According to the question,
The equation would find the distance between the two points is
![\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%20%20%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%20%20%5E%7B2%7D%20%20%7D)
If (x₁, y₁) and (x₂, y₂) be any point in the plane then the distance between the two points equation is ![\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%20%20%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%20%20%5E%7B2%7D%20%20%7D)
Hence, the equation would find the distance between the two points is
![\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%20%20%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%20%20%5E%7B2%7D%20%20%7D)
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