Show that the points `A(-3,3) B(0,0) C(3,-3)` are collinear

Show that the points (3, 3), (h, 0) and (0,k) are collinear if 1/h + 1/k = 1/3

Prove that the points A(4,3),B(3,0)and C(2,-3) are collinear. Also, find the line passing through these three points.

Using distance formula, show that the points (1,5), (2,4) and (3,3) are collinear.

Show that the points A(-3, 3), B(7, -2) and C(1,1) are collinear.

Show that the points (3,4), (-5, 16), (5,1) are collinear.

Using slopes, show that the points A(0,5) , B(3,2) and C(-1,6) are collinear.

Show that the points (0,3) , (-2,-2) and (2,8) are collinear. Also find the equation of line through these points.

Show that the points (1,0), (6,0), (0,0) are collinear.

6.Show that the points O(0,0,0),A(2,-3,3), B(-2,3,-3) are collinear. Find the ratio in which each points divides the line segment joining the other two.

Prove that the points (0,3), (4,6) and (-8, -3) are collinear.