show that point (4,7) , (1,3) , (3,1) are collinear
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Answer:
A(x1,y1)=(4,7)
B(X2,y2)=(1,3)
d(A,B)=✓(x2-x1)+(y2-y1)
=✓(1-1)+(3-7)
=✓(0)+(-4)
=✓-4
=2
B(x1,y1)=(1,3)
C(X2,y2)=(3,1)
d(B,C)=✓(x2-x1)+(y2-y1)
=✓(3-1)+(1-3)
=✓(2)-(-2)
=✓2+2
=✓4
=2
A(x1,y1)=(4,7)
C(X2,y2)=(3,1)
d(A,C)=✓(x2-x1)+(y2-y1)
=✓3-4+1-7
=✓-1+-6
=✓-1-6
=✓-7
they are not collinear
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