Question

If the line 3x + ky – 6 = 0 passes through the point (4, -2), what is the value of k?

Answer 1

Answer:

$\mathtt{ \red{(x,y) = ( 4, - 2)}} \\\mathtt{ \red{3x + ky - 6 = 0}} \\\mathtt{ \red{3x + ky = 6}} \\ \mathtt{ \red{substituting \: value \: of \: x \: and \: y.}} \\ \mathtt{ \red{(3 \times 4) -2k = 6 }} \\ \mathtt{ \red{12 - 2k = 6}} \\ \mathtt{ \red{ - 2k = 6 - 12}} \\ \mathtt{ \red{ - 2k = - 6}} \\ \mathtt{ \red{k = 3}}$