How do you find the distance between the points (-8,-4), (-3,-8)?

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How do you find the distance between the points (-8,-4), (-3,-8)?

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Answer 1 · 2017-02-20T04:00:13

The distance between the points is $\sqrt{41}$ $sqrt(41)$ or $6.403$ $6.403$ rounded to the nearest thousandth.

Explanation:

The formula for calculating the distance between two points is:

$d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$ $d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2)$

Substituting the values from the points in the problem gives:

$d = \sqrt{{(- 3 - - 8)}^{2} + {(- 8 - - 4)}^{2}}$ $d = sqrt((color(red)(-3) - color(blue)(-8))^2 + (color(red)(-8) - color(blue)(-4))^2)$

$d = \sqrt{{(- 3 + 8)}^{2} + {(- 8 + 4)}^{2}}$ $d = sqrt((color(red)(-3) + color(blue)(8))^2 + (color(red)(-8) + color(blue)(4))^2)$

$d = \sqrt{5^{2} + {(- 4)}^{2}}$ $d = sqrt(5^2 + (-4)^2)$

$d = \sqrt{25 + 16}$ $d = sqrt(25 + 16)$

$d = \sqrt{41} = 6.403$ $d = sqrt(41) = 6.403$ rounded to the nearest thousandth.

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How do you find the distance between the points (-8,-4), (-3,-8)?

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