Question

Do the points A, B, and C lie on the same line? Explain your answer.

Points:
A (2,4)
B (5,1)
C (-3,8)

Answer 1

No the given points doesn't lie on the same line. the straight line equation for the first two points is x+y=6. The third point doesn't satisfy this equation and hence the three points are not on the same line.
Note: Straight line equation for given two points:
(x2-x1)(y-y1)=(y2-y1)(x-x2)