Answer
the equation of the line is $$2y+3x-16=0.$$
Work Step by Step
The equation of the line is given by $$ \left|\begin{array}{rrr}{x} & {y} & {1} \\ {2} & {5} & {1} \\ {6} & {-1} & {1}\end{array}\right|= 0. $$ So, we have $$ \left|\begin{array}{rrr}{x} & {y} & {1} \\ {2} & {5} & {1} \\ {6} & {-1} & {1}\end{array}\right|= x(5+1)-y(2-6)+(-2-30)=4y+6x-32=0. $$ Hence, the equation of the line is $$2y+3x-16=0.$$
