Question

find the slope of a line perpendicular to the line whose equation is ( x + 6y = -24 ). fully simplify your answer.
answer attempt 1 out of 2
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Explanation:

Step1: Rewrite in slope-intercept form

Rearrange $x + 6y = -24$ to $y = mx + b$:
$$6y = -x -24$$
$$y = -\frac{1}{6}x - 4$$

Step2: Find perpendicular slope

Perpendicular slopes are negative reciprocals. For slope $m_1 = -\frac{1}{6}$, the perpendicular slope $m_2$ is:
$$m_2 = -\frac{1}{m_1} = -\frac{1}{-\frac{1}{6}} = 6$$

Answer:

6