Question

find the function which is parallel to \\(3x - 27 = 3y\\).

\\(4x + 5y = 9\\)

\\(4x - 4y = 8\\)

Explanation:

Find the slope of the given line

$$
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The slope of the given line is \(m = 1\).

Determine the slope of the parallel line

Parallel lines have equal slopes. Therefore, the parallel line must also have a slope of \(m = 1\).

Test the given options

For the first option:

$$
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$$

For the second option:

$$
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Answer:

• (A) \(4x + 5y = 9\)
• (B) \(4x - 4y = 8\) (Correct answer)