MIDPOINT 1

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

Solution

x1=a, x2=8, y1=6, y2=10.

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

                 2           2

(7, 7)= (a + 8,  6 + 10)

               2         2

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

               2      2

Equating values of x;

7= a + 8

        2      

2 x 7= (a + 8)  x 2 ¹

               2 ₁     

14 = a + 8

14 - 8 = a

a = 6.

Hence a=6 answer

TRY THIS……………………..

Find c if the midpoint of a line from (c, 18) to (21, 14) is (3, 11)