How do you find the distance between the points $(2, 2), (5, - 1)$ ?

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Solution

Determine the distance between the two points:
Given: $(2, 2), (5, - 1)$
Distance $= \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$
Substitute the actual values of the points into the distance formula.
$\begin{aligned} = \sqrt{(2 - 5)^{2} + (2 - (- 1))^{2}} \\ = \sqrt{- 3^{2 +} + (2 - (- 1)^{2}} \\ = \sqrt{9 + 9} \\ = \sqrt{18} \\ = 3 \sqrt{2} \end{aligned}$
Hence, the distance between points $3 \sqrt{2}$ .

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