How do you find the midpoint of (2,8) and (4,6)?

1 Answer

The midpoint is #(3,7)#.

Explanation:

The midpoint formula is: #(x_m,y_m)=((x_1+x_2)/2,(y_1+y_2)/2)#

We have, #x_1=2,y_1=8,x_2=4,y_2=6#

substituting the values,

#(2+4)/2 and (8+6)/2 =(3,7)#

Another way of looking at the "midpoint formula" is just as taking the average of the values for #x# and the average of the values for #y#.

Halfway between #x=2# and #x=4# is #x=3#, and halfway between #y=8# and #y=6# is at #y=7#, so the midpoint is #(3,7)#.