How do you find the distance between points (-5,2), (4,-2)?

1 Answer
May 28, 2018

Answer:

The distance is #sqrt97# or #~~9.85#

Explanation:

The distance between two points is shown by the formula:
#d = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)#

We have the values for the two coordinates, so we can substitute them into the distance formula:
#d = sqrt((-2-2)^2 + (4-(-5))^2)#

And now we simplify:
#d = sqrt((-4)^2 + (9)^2)#

#d = sqrt(16 + 81)#

#d = sqrt(97)#

If you want the exact distance, you can leave it as #sqrt97#, but if you want it in decimal form, it is #~~9.85# (rounded to nearest hundredth's place).

Hope this helps!