How do you find the distance between (4, 7) and (2, 9)?

1 Answer
Jul 28, 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)(2) - color(blue)(4))^2 + (color(red)(9) - color(blue)(7))^2)#

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

#d = sqrt(4 + 4)#

#d = sqrt(8)#

Or

#d = 2.828# rounded to the nearest thousandth.

Or

#d = sqrt(4 * 2)#

#d = sqrt(4)sqrt(2)#

#d = 2sqrt(2)#