Question

If the points a( 1, - 2) b(2,3)c(a,2) and d(-4,-3) form a parallelogram.Find the value of



a.

Answer 1

First of all

Slope of line ab =Slope of line CD (because AB//CD)

y2-y1/x2-x1=y2-y1/x2-x1

3+2/2-1=-3-2/-4-a

5/1=-5/-4-a

5=5/4+a

a+4=1

a=-4