Question

What is the distance?

Answer 1

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)`