How do you find the distance between points (5,8), (5,7)?

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How do you find the distance between points (5,8), (5,7)?

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Answer 1 · 2017-05-01T14:06:29

See the solution process below:

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:

$d = \sqrt{{(5 - 5)}^{2} + {(7 - 8)}^{2}}$ $d = sqrt((color(red)(5) - color(blue)(5))^2 + (color(red)(7) - color(blue)(8))^2)$

$d = \sqrt{0^{2} + {(- 1)}^{2}}$ $d = sqrt(0^2 + (-1)^2)$

$d = \sqrt{0 + 1}$ $d = sqrt(0 + 1)$

$d = \sqrt{1}$ $d = sqrt(1)$

$d = 1$ $d = 1$

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How do you find the distance between points (5,8), (5,7)?

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Explanation:

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