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19 votes
19 votes
The graph of the equation 2x+y=7 is parallel to the graph of:

1: y=-2x+5
2: x+2y=4
3: y-2x=2

User Ekj
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3.1k points

1 Answer

4 votes
4 votes

Answer:

1: y=-2x+5

Explanation:

When two lines are parallel, the slopes are equivalent.

First, you have to turn 2x+y=7 into standard form.

2x+y=7

y=-2x+7

The slope is -2 so then you find an answer choice with -2 as the slope.

Turn all the answers into standard form first:

2: x+2y=4

2y=-x+4

y=-1/2x+4 Not choice 2 since the slope is -1/2.

3: y-2x=2

y=2x+2 Not choice 3 because the slope is positive 2.

Therefore, choice 1 is parallel to equation 2x+y=7.

User Nen
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2.9k points