19. Five mark exercise problem I

What is the slope of a line perpendicular to the line joining \(A(5,1)\) and \(P\) where \(P\) is the midpoint of the segment joining \((4,2)\) and \((-6,4)\).

 

Answer:

 

The coordinates of the midpoint \(P\) is $\left(i,i\right)$.

 

Slope of \(AP =\) $\frac{i}{i}$.

 

Slope of the line perpendicular to \(AP\) is .