How do you find the distance between the points (-3,-5), (-6,-4)?

1 Answer
smendyka
Jul 14, 2017

See a solution process below:

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)(-6) - color(blue)(-3))^2 + (color(red)(-4) - color(blue)(-5))^2)d=√(−6−−3)2+(−4−−5)2

d = sqrt((color(red)(-6) + color(blue)(3))^2 + (color(red)(-4) + color(blue)(5))^2)d=√(−6+3)2+(−4+5)2

d = sqrt((-3)^2 + 1^2)d=√(−3)2+12

d = sqrt(9 + 1)d=√9+1

d = sqrt(10)d=√10

Or

d = 3.162d=3.162 rounded to the nearest thousandth

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