How do you find the distance between (9,7), (1,1)?

Question

Kennedy Adams · Accepted Answer

undefined To find the distance between two points (x1, y1) and (x2, y2), you can use the distance formula:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Applying this formula to the given points (9,7) and (1,1):

Distance = √((1 - 9)^2 + (1 - 7)^2)
         = √((-8)^2 + (-6)^2)
         = √(64 + 36)
         = √100
         = 10

Therefore, the distance between (9,7) and (1,1) is 10 units.

Ethan Adkins · Answer

See the entire solution process below:

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)(9))^2 + (color(red)(1) - color(blue)(7))^2)# #d = sqrt((-8)^2 + (-6)^2)# #d = sqrt(64 + 36)# #d = sqrt(100) = 10# The distance between the two points is #sqrt(100)# or #10#