How do you find the distance between (-4,-3), (1,4)?

1 Answer
Mar 31, 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)(1) - color(blue)(-4))^2 + (color(red)(4) - color(blue)(-3))^2)#

#d = sqrt((color(red)(1) + color(blue)(4))^2 + (color(red)(4) + color(blue)(3))^2)#

#d = sqrt(5^2 + 7^2)#

#d = sqrt(25 + 49)#

#d = sqrt(74) = 8.602# rounded to the nearest thousandth.