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On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).

What is the equation of the line that is parallel to the given line and passes through the point (2, 3)?

x + 2y = 4
x + 2y = 8
2x + y = 4
2x + y = 8

User Bigandrewgold
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2 Answers

22 votes
22 votes

Answer:

B

Explanation:

User Nataraj Medayhal
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3.1k points
11 votes
11 votes

Answer: x + 2y = 8

Explanation:

We know that the slope of the line is (-4-0)/(4-(-4))=-1/2.

The slope of the parallel lines is thus also -1/2.

We can conclude that the equation of the line is y=(-1/2)x+4.

2y = -x + 8

x + 2y = 8

User Ntzm
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3.2k points