What is the distance between $(–3, 2) and$ (3,7) #?

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Answer 1 · 2018-03-30T12:34:08

See a solution process below:

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:

$d = sqrt((color(red)(3) - color(blue)(-3))^2 + (color(red)(7) - color(blue)(2))^2)$

$d = sqrt((color(red)(3) + color(blue)(3))^2 + (color(red)(7) - color(blue)(2))^2)$

$d = sqrt(6^2 + 5^2)$

$d = sqrt(36 + 25)$

$d = sqrt(61)$

Or

$d ~= 7.81$

What is the distance between (–3, 2) and (–3, 2) and (3,7) #?