Which point is collinear with points A and C?

http://static.k12.com/calms_media/media/202500_203000/202592/1/8a992e88dbbabd6dcaf1dd91a8c102cfd382b597/28851_000515-23_ChoiceD.jpg

A.
(0, 0)

B.
(1, 0)

C.
(0, –1)

D.
(–2, 2)
@shahd-owies

Question

Which point is collinear with points A and C? 
  
http://static.k12.com/calms_media/media/202500_203000/202592/1/8a992e88dbbabd6dcaf1dd91a8c102cfd382b597/28851_000515-23_ChoiceD.jpg
 
 A.
(0, 0)
 
 B.
(1, 0)
 
 C.
(0, –1)
 
 D.
(–2, 2)
@shahd-owies

anonymous · Answer

at first find the equation of the line which goes through the points A(3,-4) and C(-4,3)
the slope = (3+4)/(-4-3)=-1
so the equation is 
y-3=-1(x+4)
y=-x-4+3
y=-x-1 
and now to choose the correct answer sabstute the choices in the equation 
A) (0,0) is false since 
0 is not equal to -1
B) (1,0) is false since 0 is not equal to -2
C) (0,-1) is true since -1 =-0-1=-1 
so the answer is C