How do you find the distance between (7,2), (-5,7)?

1 Answer
Mar 30, 2018

Answer:

#13#

Explanation:

The easiest way to find the distance between two points is to use the distance formula:
#d = sqrt((x_2 - x_1)^2 + (y_2-y_1)^2#

It looks really complicated and confusing, but I'll help you through it.

Remember that points are in the form: #(x,y)#.

  • I am going to call #(7,2)# Point 1, so:
    #x_1 = 7#
    #y_1 = 2#
  • I'm going to call #(-5,7)# Point 2, so:
    #x_2 = -5#
    #y_2 = 7#

Now all we have to do is substitute those into the equation and solve. Here goes nothing:

#d = sqrt((x_2 - x_1)^2 + (y_2-y_1)^2#

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

#d = sqrt((-12)^2 + (5)^2#

#d = sqrt(144 + 25#

#d = sqrt169#

#d = 13#

So the distance between #(7,2)# and #(-5,7)# is #13#.