Question

Determine whether the following points are collinear. 

i. R (1, -4), S (-2, 2), T (-3, 4) 

ii. A(-4, 4), K(-2, 5/2), N (4, -2)

Answer 1

∴ slope of line RS = slope of line ST 

∴ line RS || line ST 

Also, point S is common to both the lines. 

∴ Both lines are the same. 

∴ Points R, S and T are collinear

∴ slope of line AK = slope of line KN 

∴ line AK || line KN 

Also, point K is common to both the lines. 

∴ Both lines are the same. 

∴ Points A, K, and N are collinear.