Question

what is the distance between the points (-1,2) and (2,6)?

Answer 1

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Answer 2

apply the distance formula:
\[\sqrt{(x2-x1)^2 + (y2-y1)^2}\]
where the points given are (x1, y1) and (x2, y2). So in your case, choose one set as x1, y1 (doesn't matter, just keep consistent).

so:
\[\sqrt{(-1-2)^2 + (2-6)^2} = \sqrt{(-3)^2 + (-4)^2} = \sqrt{25}= 5\]