How do you find the distance between (-7.487,1.8), (-3.1,-1.2)?

1 Answer
Aug 20, 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)#

Substituting the values from the points in the problem gives:

#d = sqrt((color(red)(-3.1) - color(blue)(-7.487))^2 + (color(red)(-3.1) - color(blue)(1.8))^2)#

#d = sqrt((color(red)(-3.1) + color(blue)(7.487))^2 + (color(red)(-3.1) - color(blue)(1.8))^2)#

#d = sqrt(4.387^2 + (-4.9)^2)#

#d = sqrt(19.245769 + 24.01)#

#d = sqrt(43.255769)#