What is the distance between $(-4,-19)$ and $(1,-12)$ ?

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Answer 1 · 2016-12-18T19:11:44

The distance between the points is $sqrt(74)$

or

$8.6$ rounded to the nearest 10th.

The formula for calculating the distance between two points is:

$d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)$

Substituting the points from the problem gives:

$d = sqrt((1 - -4)^2 + (-12 - -19)^2)$

$d = sqrt((1 + 4)^2 + (-12 + 19)^2)$

$d = sqrt(5^2 + 7^2)$

$d = sqrt(25 + 49)$

$d = sqrt(74)$

What is the distance between (-4,-19)(-4,-19) and (1,-12)(1,-12)?