MID POINT 1

Find a if the midpoint of a line from (a, 6) to (8, 10) is (30, 7)

Solution

x1=a, x2=8, y1=6, y2=30.

(30, 7)= (x1 + x2, y1 + y2)

                   2             2

(30, 7)= (a + 8,  6 + 10)

                  2          2

(30, 7)= (a + 8, 16)

                  2      2

Equating values of x;

30= a + 8

         2      

2 x 30= (a + 8)  x 2 ¹

                2 ₁     

60 = a + 8

60-8 = a

a = 52.

Hence a = 52

TRY THIS……………………..

Find m if the midpoint of a line from (m, 19) to (13, 10) is (9, 11)