Question

question 29 points 3

find the function which is parallel to \\(x + y = 9\\).

\\(2x + 2y = 2\\)

\\(x - y = 10\\)

Explanation:

Find the slope of the given line

$$
LATEXBLOCK0
$$

The slope \(m_1\) is \(-1\).

Find the slopes of the options

For the first option:

$$
LATEXBLOCK1
$$

The slope \(m_2\) is \(-1\).

For the second option:

$$
LATEXBLOCK2
$$

The slope \(m_3\) is \(1\).

Compare slopes for parallel lines

Parallel lines must have equal slopes:

$$ m_1 = m_2 = -1 $$

Thus, the line \(2x + 2y = 2\) is parallel to \(x + y = 9\).

Answer:

• (A) \(2x + 2y = 2\) (Correct answer)
• (B) \(x - y = 10\)