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Find the equation of the line joining A(...

Find the equation of the line joining `A(1,3)a n dB(0,0)` using determinants and find `k` if `D(k ,0)` is appoint such that area of ` A B C` is 3sq. units.

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`AB(x,y)`
`1/2[[1,3,1],[0,0,1],[x,y,1]]=0`
`=1/2[[0,0,1],[x,y,1],[1,3,1]]=0`
`1(3x-y)=0`
`3x-y=0`
`1/2[[0,0,1],[1,3,1],[k,0,1]]=3`
`1/2[1(-3k)]=3`
`(3k)/2=3`
...
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