Question

please .....Determine if the points (2,1) , (0,2) ,(4,0) are collinear.

Answer 1

Equation of line passing through (0,2) and (4,0)

Slope is -1/2
Line is y = -1/2 x + c
0 = -1/2 *4 + c
0 = -2 +c
2 = c
Equation of line is y = -1/2 x + 2
Plug in x =2 and find y
y = -1/2 * 2 + 2 = -1 +2 = 1
(2,1) lies on the line
So the points (2,1) , (0,2) ,(4,0) are collinear.

Answer 2

no it is'nt the value of the area covered is not zero

Answer 3

Please check using a graph. All the points lie in one line so collinear

Answer 4

will do thanks a lot