Question

2. If the mid-point of the line segment joining the points P(6, b - 2) and Q(-2, 4) is (2, -3).
Find the value of b,

Answer 1

2=6-2/2

4=4

0

-3=b-2+4/2

-3*2=b+2

-6 =b+2

-6-2=b

b = -8

Answer 2

Answer:

-8

Step-by-step explanation:

P(6,b-2)= ( x1,y1)

Q(-2,4)= (x2,y2)

midpoint = (2,-3)

by midpoint theorem

y = (y1 + y2)÷2

-3 = [(b-2) + 4 ] ÷ 2

-3 = ( b-2+4 ) ÷ 2

b-2+4 = -3 × 2

b+2 = -6

b = -6-2

b= -8