SOLUTION: Do the points (-6,5.25), (1,3), and (2.5,3.25) lie on the same line?

Algebra ->  Linear-equations -> SOLUTION: Do the points (-6,5.25), (1,3), and (2.5,3.25) lie on the same line?      Log On


   

Question 390596: Do the points (-6,5.25), (1,3), and (2.5,3.25) lie on the same line?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
det%28matrix%283%2C3%2C-6%2C5.25%2C1%2C1%2C3%2C1%2C2.5%2C3.25%2C1%29+%29=+5.125. Since this determinant is not 0, the three points are NOT collinear, or do not lie on the same line. (Incidentally half the absolute value of the determinant gives the area of the triangle formed.)