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

1 Answer
Jan 28, 2017

Answer:

Use the formula for distance, see 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)#

Substituting the values from the points given in the problem produces:

#d = sqrt((color(red)(5) - color(blue)(-3))^2 + (color(red)(-3) - color(blue)(5))^2)#

#d = sqrt((color(red)(5) + color(blue)(3))^2 + (color(red)(-3) - color(blue)(5))^2)#

#d = sqrt(8^2 + (-8)^2)#

#d = sqrt(64 + 64)#

#d = sqrt(128) = 11.314# rounded to the nearest thousandth.