Question

If the midpoint of the line segment joining the points p(b,-2) and Q(-2,4)is (2,3). Find the value of b

Answer 1

The given points are $P(b,-2)$ and $Q(-2,4)$

The mid point is given by $x=\frac{x_1+x_2}{2}y=\frac{y_1+y_2}{2}$

Here $(x,y)=(2,3)$

$⟹2=\frac{b-2}{2}4=b-2b=6$