How do you find the coordinates of the midpoint of line #LM# if #L(-7, -4)#, and #M(5, -10)#?

1 Answer
Jan 9, 2016

Midpoint of #LM= (-1, -7)#

Explanation:

By using the formula of Midpoint #=((x_1+x_2)/2,(y_1+y_2)/2)# given two coordinates, #(x_1,y_1)# and #(x_2,y_2)#.

In this question, #L(-7,-4)=(x_1,y_1)# while #M(5,-10)=(x_2,y_2)#, both informations are given and the midpoint of #LM# can be calculated by;

Midpoint of LM #=((x_1+x_2)/2,(y_1+y_2)/2)#

Midpoint of LM #=((-7+5)/2,(-4+(-10))/2)#

Midpoint of LM #=((-2)/2,(-14)/2)#

Midpoint of #LM= (-1, -7)#