Question

The mid point of the line segment joining ( a-1, 3) and (5, b+7) is (4, 2a+1). Find the value of 'a' and 'b'

Answer 1

Answer:

a=4 and b=8

Step-by-step explanation:

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

(4,2a+1)={(a-1+5)/2,(3+b+7)/3}

comparing x and y coordinate

x coordinate

4=a+4/2

8=a+4

a=4

y coordinate also substitute the values of a in the equation

2(4)+1=b+10/2

9×2=b+10

18-10=b

8=b