Question

The midpoint of the line segment joining A(2a,4) and ( -2,3b) is ( 1,2a+1) . Find the

values of a and b.​

Answer 1

Step-by-step explanation:

A(x1, y1) , B(x2,y2) is line segment

mid point (x1+x2/2, y1+y2/2)

(2a-2/2, 4-3b/2) = (1, 2a+1)

2a-2/2 =1

2a-2 = 2

2a = 4

a=4/2=2

4-3b /2 =2a+1

4-3b/2 = 2×2+1 = 5

4-3b =10

4-10 =3b

-6=3b

b= -6/3 = -2