If is the mid - point of the line segment joining the points Q( - 6, 5) and R( - 2, 3), then the value of a is


Given,

P is the mid - point of the line segment joining the points Q and R


Where;


P =


Q = ( - 6, 5)


R = ( - 2, 3)


Shown in the figure given below;



Mid - point of QR = P


P = ( - 4, 4)


Since, mid - point of line segment having points (x1, y1) and (x2, y2);


=


But given coordinates of mid - point P is ;


( - 4, 4)


On comparing the coordinates, we get


= - 4


a = - 12


Hence, the required value of a = - 12

13
1