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What is the distance?

What is the distance?-example-1
User Matheo
by
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1 Answer

3 votes

The distance between the two points is
2√(10)

Explanation:

The given coordinates is
(-2,1) and
(4,3)

To find the distance between two points, let us use the distance formula,


d=\sqrt{\left(x_(2)-x_(1)\right)^(2)+\left(y_(2)-y_(1)\right)^(2)} where
\left(x_(1), y_(1)\right)=(-2,1) and
\left(x_(2), y_(2)\right)=(4,3)

Thus, substituting the values in the formula, we get,


d=\sqrt{(4+2)^(2)+(3-1)^(2)}

Simplifying the expression,


\begin{aligned}d &=\sqrt{(6)^(2)+(2)^(2)} \\&=√(36+4) \\&=√(40) \\&=2 √(10)\end{aligned}

Thus, the distance between the two points is
2√(10)

User Nurdin
by
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