Question 1109058
Notice that your given point IS on your given line.


{{{5*2+1*4=14}}}
You could use the coefficients as variables temporarily.
{{{A*2+B*4=14}}}
{{{2A+4B=14}}}


This is a line, with variable coefficients A and B, as if an ordered pair  (A, B).  As long as (A, B) is not  (5,1), Any point (A,B) which satisfies line 2A+4B=14 will intersect {{{5x+y=14}}}.