Question

Write the standard form of the equation of the line that passes through point at (4,2) and is parallel to whose equation is y=2x-4

Answer 1

Since the equation is parallel to y=2x-4 that means they have the same slope. Now that you have the slope and fortunately a point, you can solve this by using point slope formula
$y - y1 = m(x - x1)$
Which is what I did on the attached picture and just rearrange it after solving to Ax+By=C/2x-y=6