Question

If the mid point of the line segment joining the points p (6, b – 2) and Q(–2, 4) is (2, – 3). What is the value of b?

Answer 1

Answer:

b = -8

Step-by-step explanation:

Midpoint of A(x₁ , y₁) & B(x₂ , y₂) is $(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2})$

⇒ Midpoint of P & Q = $(\frac{6-2}{2},\frac{b-2+4}{2})$ = (2,-3)

⇒$(\frac{4}{2} , \frac{b+2}{2} )$ = (2,-3)

⇒ $\frac{b+2}{2} = -3$

⇒ b+2 = -6

⇒ b = -8