How do you find the distance between (-4,-3), (1,4)?

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Answer 1 · 2017-03-31T00:46:07

See the entire 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)(1) - color(blue)(-4))^2 + (color(red)(4) - color(blue)(-3))^2)#

#d = sqrt((color(red)(1) + color(blue)(4))^2 + (color(red)(4) + color(blue)(3))^2)#

#d = sqrt(5^2 + 7^2)#

#d = sqrt(25 + 49)#

#d = sqrt(74) = 8.602# rounded to the nearest thousandth.