How do you find the distance between (-2,-1) and (-5,-5)?

1 Answer
smendyka
Mar 7, 2017

See the entire 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)(-5) - color(blue)(-2))^2 + (color(red)(-5) - color(blue)(-1))^2)d=√(−5−−2)2+(−5−−1)2

d = sqrt((color(red)(-5) + color(blue)(2))^2 + (color(red)(-5) + color(blue)(1))^2)d=√(−5+2)2+(−5+1)2

d = sqrt((-3)^2 + (-4)^2)d=√(−3)2+(−4)2

d = sqrt(9 + 16)d=√9+16

d = sqrt(25)d=√25

d = 5d=5

The distance between the two points is 55

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