What is the distance between $(–5, –9)$ and $(–4, 7)$ ?

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Answer 1 · 2015-12-25T19:34:14

$sqrt(257)$

You first form the vector between those points : $(-4 -(-5),7 - (-9)) = (1,16)$ . You then calculate its norm by the formula $sqrt(x^2 + y^2)$

$sqrt(1 + 16^2) = sqrt(257)$

What is the distance between (–5, –9) (–5, –9) and (–4, 7) (–4, 7) ?