How do you find the distance between (6,2), (0,-6)?

1 Answer
smendyka
Mar 8, 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)(0) - color(blue)(6))^2 + (color(red)(-6) - color(blue)(2))^2)d=√(0−6)2+(−6−2)2

d = sqrt((-6)^2 + (-8)^2)d=√(−6)2+(−8)2

d = sqrt(36 + 64)d=√36+64

d = sqrt(100) = 10d=√100=10

The distance between the two points in 1010

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