What is the distance between (6,4) and (-3,5)?

1 Answer
Apr 22, 2017

Answer:

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)#

Substituting the values from the points in the problem gives:

#d = sqrt((color(red)(-3) - color(blue)(6))^2 + (color(red)(5) - color(blue)(4))^2)#

#d = sqrt((-9)^2 + 1^2)#

#d = sqrt(81 + 1)#

#d = sqrt(82) = 9.055# rounded to nearest thousandth