Find the equation of a line parallel to y=2x-4 that contains the points (5,1)

The correct answer is
y=2x-9

Since the lines are parallel, they will gave the same slope (in this case it’s 2)

Our equation will be
y=mx+b

We know the slope is 2, and they’ve given us x and y coordinates. Plugging it in to the slope equation we get

1=2(5)+b

1=10+b

Subtract 10 from both sides and you get

-9=b

Putting it together our new parallel line will be

y = 2x - 9