Write the equation y-2=6x+3 in y+mx+b form

y - 2 = 6 x + 3 Subtract 6 x + 3 to both sides

y - 2 - ( 6 x + 3 ) = ( 6 x + 3 ) - ( 6 x + 3 )

y - 2 - 6 x - 3 = 0

y - 6 x - 5 = 0