# What is the distance between (5,-3) and (0,9)?

##### 1 Answer

Feb 19, 2016

13 units

#### Explanation:

To calculate the distance between 2 points use the

#color(blue)(" distance formula "# d

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

# (x_1,y_1) , (x_2,y_2) " are the coords of the 2 points "# here , let

#(x_1,y_1) = (5,-3) " and " (x_2,y_2) = (0,9)# hence d

# = sqrt((0-5)^2 + (9-(-3))^2) = sqrt(25 + 144) = sqrt169 = 13#