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

1 Answer
Jan 9, 2016

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

Explanation:

By using the formula of Midpoint =((x_1+x_2)/2,(y_1+y_2)/2)=(x1+x22,y1+y22) given two coordinates, (x_1,y_1)(x1,y1) and (x_2,y_2)(x2,y2).

In this question, L(-7,-4)=(x_1,y_1)L(7,4)=(x1,y1) while M(5,-10)=(x_2,y_2)M(5,10)=(x2,y2), both informations are given and the midpoint of LMLM can be calculated by;

Midpoint of LM =((x_1+x_2)/2,(y_1+y_2)/2)=(x1+x22,y1+y22)

Midpoint of LM =((-7+5)/2,(-4+(-10))/2)=(7+52,4+(10)2)

Midpoint of LM =((-2)/2,(-14)/2)=(22,142)

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