What is the length of the line segment between $(5, -7)$ and $(5, 11)$ ?

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Answer 1 · 2017-03-04T12:58:58

The length of the line segment between the two points is $18$

The formula for calculating the distance between two points is:

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

Substituting the values from the points in the problem gives:

$d = sqrt((color(red)(5) - color(blue)(5))^2 + (color(red)(11) - color(blue)(-7))^2)$

$d = sqrt((color(red)(5) - color(blue)(5))^2 + (color(red)(11) + color(blue)(7))^2)$

$d = sqrt(0^2 + 18^2)$

$d = sqrt(18^2) = 18$

What is the length of the line segment between (5, -7)(5, -7) and (5, 11)(5, 11)?