What is the approximate distance between points W(-4, 1) and Z(3, 7)?

Question

Round to the nearest tenth.

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Answer 1 · 2018-05-24T00:50:31

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_(W-Z) = sqrt((color(red)(3) - color(blue)(-4))^2 + (color(red)(7) - color(blue)(1))^2)#

#d_(W-Z) = sqrt((color(red)(3) + color(blue)(4))^2 + (color(red)(7) - color(blue)(1))^2)#

#d_(W-Z) = sqrt(7^2 + 6^2)#

#d_(W-Z) = sqrt(49 + 36)#

#d_(W-Z) = sqrt(85)#

#d_(W-Z) ~= 9.22#