Question

Which points are collinear:A(4,-11) B(-4,7) C(4,5) D(4,0) E(-4,-3) F(0,0)

Answer 1

A=(x1,y1)=(4,-11) , B=(x2,y2)=(-4,7)

slope of

line AB=y2-y1/x2-x1

=-4-4/7+11

= -4/7

C=(x3,y3)=(4,5) , D=(x4,y4)=(4,0)

slope of line BC=y3-y2/x3-x2

=4+4/5-7

=4/1

slope of line CD=y4-y3/x4-x3

=0-5/4-4

=-5

therefore slope of line AB,BC,andCDare not equal therefore the points are not equal.