Find the value of k if the points A(2, 3), B(4, k) and C(6, -3) are collinear.

The points A(2, 3), B(4, k) and C(6, -3) are collinear means they lie on a single line.

Let the equation of line be y = mx + c (General form of a linear equation with slope m )

This line will pass through all three points A, B and C.

By substituting values of coordinates of A, B and C in the given line we get

3 = 2m + c      ------ (1)

-3 = 6m + c     ------ (2)

Subtracting (2) from (1), we get

=> 6 = -4m

m = -1.5

Substituting m = -1.5, we get

3 = -3 + c

c = 6

Equation of line is y = -1.5x + 6

Point B(4,k) passes through the line.

=> k = -1.5*4 + 6

=> k = 0 

The answer is option A.