How do you find the distance between the points (-3,8), (5,4)?

1 Answer
smendyka
Feb 19, 2017

The distance between the points is sqrt(65)√65 or 8.0628.062 rounded to the nearest thousandth.

Explanation:

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)d=√(x2−x1)2+(y2−y1)2

Substituting the values from the points in the problem gives:

d = sqrt((color(red)(4) - color(blue)(-3))^2 + (color(red)(4) - color(blue)(8))^2)d=√(4−−3)2+(4−8)2

d = sqrt((color(red)(4) + color(blue)(3))^2 + (color(red)(4) - color(blue)(8))^2)d=√(4+3)2+(4−8)2

d = sqrt(7^2 + (-4)^2)d=√72+(−4)2

d = sqrt(49 + 16)d=√49+16

d = sqrt(65) = 8.062d=√65=8.062 rounded to the nearest thousandth.

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