Answer:
The equation of the parallel line would be y = -1/2x + 1
Step-by-step explanation:
To start we need to find the slope of the original line. We can do that by solving for y.
x + 2y = -4
2y = -x - 4
y = -1/2x - 2
Since the slope of the original line is -1/2 and parallel lines have the same slope, we know the new line will also have -1/2 slope. Now we can use that along with the point given in point-slope form to get the find equation.
y - y1 = m(x - x1)
y - 5 = -1/2(x + 8)
y - 5 = -1/2x - 4
y = -1/2x + 1
