How do you find the distance between (-6,-2) and (-7,-5)?

1 Answer
Mar 19, 2017

Answer:

#=sqrt(10)#

Explanation:

We use the distance formula: #sqrt((x_2-x_1)^2+(y_2-y_1)^2)#

Lets label our points for easier classification:
#(color(blue)(-6), color(red)(-2))-> (color(blue)(x_1),color(red)(y_1))#
#(color(blue)(-7), color(red)(-5))-> (color(blue)(x_2),color(red)(y_2))#

Now we can substitute in for the distance formula:
#sqrt(color(blue)((-7-(-6)))^2+color(red)((-5-(-2)))^2)#

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

#=sqrt(color(blue)((1))+color(red)((9)))#

#=sqrt(10)#