Question

the mid point of the line segment joining A(2a, 4) and B(-2, 3b) is M(1, 2a+1).Find the value of and b? ​

Answer 1

Answer:

a=2 and b2

Step-by-step explanation:

midpoint = ((x1+x2)/2 , (y1+y2)/2)

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

(2a-2)/2 = 1

2a-2 =2

a-1 = 1

a = 2

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

(4+3b)/2 = 4+1

(4+3b)/2 = 5

4+3b = 10

3b = 6

b= 2