Question

Which of the following is the equation of a line parallel to the line y=3x+2, passing through the point (10,1)?

Answer 1

$k:y=3x+2\\l:y=mx+b\\\\k\ ||\ l\iff m=3\\\\l:y=3x+b;\ (10;\ 1)\\\\3\cdot10+b=1\\30+b=1\\b=1-30\\b=-29\\\\l:y=3x-29\to 3x-y=29\\\\Answer:A.$