Question

Write an equation of the line parallel to x+2y=-4 through the point (-8,5) show all work

Answer 1

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