Question 1179373
Use a determinant to find an equation of the line passing through the points

({{{x}}}, {{{y}}})
({{{-2}}},{{{ 5}}}), ({{{4}}}, {{{1}}})


{{{matrix(3,3,
x,y,1,
x[1],y[1],1,
x[2],y[2],1)}}}


let  ({{{x[1]}}},{{{y[1]}}}) be ({{{-2}}},{{{ 5}}}) and
({{{x[2]}}},{{{y[2]}}}) be ({{{4}}}, {{{1}}})


{{{matrix(3,3,
x,  y, 1,
-2, 5,1,
4, 1, 1)}}}



{{{x(5-1)-y(-2-4)+1(-2-20)=0}}}

{{{4x+6y-22=0}}}....simplify

{{{2x+3y-11=0}}}

{{{2x+3y=11}}}-> answer