Question Number 39166 by Rio Mike last updated on 03/Jul/18
$${Find}\:{the}\:{value}\:{of}\:{k}\:{if} \\ $$$$\left(\mathrm{2},{k}\right)\:,\left(\mathrm{3},\mathrm{4}\right)\:{and}\:\left(\mathrm{6},\mathrm{4}\right)\:{are} \\ $$$${collinear}. \\ $$$${hence}\:{find}\:{the}\:{equation}\:{on} \\ $$$${the}\:{line}\:\mathrm{3}{i}\:−\:{j}\:{with}\:{the}\:{above} \\ $$$${points} \\ $$
Commented by Joel579 last updated on 03/Jul/18
$${collinear}\:=\:{have}\:{same}\:{gradient} \\ $$
Answered by tanmay.chaudhury50@gmail.com last updated on 03/Jul/18
$${slope}=\frac{\mathrm{4}−\mathrm{4}}{\mathrm{6}−\mathrm{3}}=\frac{\mathrm{4}−{k}}{\mathrm{3}−\mathrm{2}} \\ $$$$\mathrm{4}−{k}=\mathrm{0}\:\:\:\:\:{so}\:{k}=\mathrm{0} \\ $$