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The answer would basically be anything with a slope of -2 ex y=-2x +30

We know that two parallel lines have the same slope. So, the lines which are parallel will be, A. y = –2x + 10, B. 16x + 8y = 7  and C. y = –2x.

How are parallel straight lines related?

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.

First we need to find the slope of the given line

8x + 4y = 5

So, slope = (-a/b)

                = (-8/4)

                = -2

We know that two parallel lines have the same slope. So, the lines which are parallel will be,

A. y = –2x + 10

The equation has the same slope so, it is correct.

B. 16x + 8y = 7

The equation has the same slope so, it is correct.

C. y = –2x

The equation has the same slope so, it is correct.

D. y – 1 = 2(x + 2)

The equation doesn't have the same slope so, it is not correct.

Learn more about parallel lines here:

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