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3 years ago

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

Mathematics

1 answer:

scoundrel [369]3 years ago

4 0

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

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