Find the equation of the line joining (1,3) and B (0, 0) using determinants and find K if D (K,0) is a point such that area of $\triangle ABD$ is 3 sq. units

Question

$(A)\; 3x + y = 0 ; k = 2$
$(B)\; 3x - y = 0; k = -2$
$(C)\; 3x - y = 0; k = \pm 2$
$(D)\; 3x + y = 0; k=\pm2$