Question

1 point
If the points (x,2x), (3x,3x) and
(3.1) are collinear, then x=
O -1/3
O 1/3
O
3​

Answer 1

Answer:

If the points are collinear then the gradient of the line found by any two points will be equal to to the gradient found by other two points.

(1 - 2x)/(3 - x) = (3x - 2x)/(3x - x)

(1 - 2x)/(3 - x) = 1/2

2 × (1 - 2x) = 3 - x

2 - 4x = 3 - x

2 - 3 = -x + 4x

-1 = 3x

-1/3 = x