What is the distance between (2, -3) and (5, -4)?

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Answer 1 · 2016-10-01T00:31:30

$sqrt(58)$ units

We have: $(2, - 3)$ and $(5, - 4)$

Let's apply the distance formula:

$=> d = sqrt((x_(2) - x_(1))^(2) + (y_(2) - y_(1))^(2))$

$=> d = sqrt((5 - 2)^(2) + (- 4 - (- 3))^(2))$

$=> d = sqrt(3^(2) + (- 7)^(2))$

$=> d = sqrt(9 + 49)$

$=> d = sqrt(58)$

Therefore, the distance between the two points $(2, - 3)$ and $(5, - 4)$ is $sqrt(58)$ units.