Question 1023680
perpendicular to 5x-2 means a slope of -1/5.

{{{(y-y[1])=m(x-x[1])}}}   is Point-Slope Form using -1/5 slope and point (6,3)


{{{(y-3)=(-1/5)(x-6)}}} 


{{{(y-3)=(-1/5)x+6/5}}} 


{{{y=(-1/5)x+21/5}}}