Question

❀✿V᭄ICTORY★♡࿐


Find the coordinates of the points which divide the line segment joining A(-2, 2) and B(2, 8) into four equal parts

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Answer 1

Step-by-step explanation:

Let the 3 coordinates be P,Q and R

P divides AB in the ratio 1:3

P(x,y)=[1(2)+3(-2)/1+3 , 1(8)+3(2)/1+3]

=(2-6/4 , 8+6/4)

=(-4/4 , 14/4)

=(-1 , 3.5)

Q divides AB in the ratio 2:2

Q(x,y)=[2(2)+2(-2)/2+2 , 3(8)+1(2)/2+2]

=(4-4/4 , 16+4/4)

=(0/4 , 20/4)

=(0 , 5)

R divides AB in the ratio 3:1

R(x,y)=[3(2)+1(-2)/3+1 , 3(8)+1(2)/3+1]

=(6-2/4 , 24+2/4)

=(4/4 , 26/4)

=(1 , 6.5)