Answer:
The equation of the line would be y = 2x + 8
Explanation:
In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.
14x - 7y = 1
-7y = -14x + 1
y = 2x - 1/7
Now that we have a slope of 2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 4 = 2(x + 2)
y - 4 = 2x + 4
y = 2x + 8