Question

question: find the slope of a line perpendicular to the line whose equation is x + y = 9. fully simplify your answer.
answer - attempt 1 out of 2
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slopes of parallel/perpendicular lines
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Explanation:

Step1: Rewrite the given line in slope - intercept form

The equation of the given line is \(x + y=9\), which can be rewritten as \(y=-x + 9\). The slope of this line \(m_1=-1\).

Step2: Use the slope - relationship for perpendicular lines

If two lines are perpendicular, the product of their slopes \(m_1\times m_2=- 1\). Let the slope of the perpendicular line be \(m_2\). Since \(m_1=-1\), then \((-1)\times m_2=-1\). Solving for \(m_2\), we get \(m_2 = 1\).

Answer:

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