Question

if p(a/3, 5) is the mid point of the line segment joining the points A(-7,3) and B(-3,7), then the value of a is:​

Answer 1

Using mid pt formula,

P(x,y) = [ $\frac{X1+X2}{2}$, $\frac{Y1+Y2}{2}$]

Comparing x coordinates,

$\frac{a}{3}$ = $\frac{-7-3}{2}$

a/3 = -10/2

a/3 = -5

a = -15