Question

Find the coordinates of the points of trisection of the line segment
joining the points A(2,-2) and B(-7,4)​

Answer 1

Step-by-step explanation:

Let the given points be A(2,−2) & B(−7,4)

P & Q are two points on AB such that

AP=PQ=QB

Let k=AP=PQ=QB

Hence comparing AP & PB

AP=k

PB=PQ+QB

       =k+k=2k

Hence, ratio of AP & PB =2mm

                                           =21

Thus P divides AB in the ratio 1:2

Now, we have to find P

Let P be (x,y)

Hence,

m1=1, m2=2

And for AB

x1=2, x2=−2

y1=−7, y2=4

x=m1+m2m1x2+m2x1

  =1+21×(−7)+