Answer:
y = -(1/6)x - 6
Explanation:
slope intercept form is
y = mx + b
m is the slope
b is the y-intercept
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x + 6y = -24
Subtract x from both sides
6y = -x - 24
Divide both sides by 6
y = -(1/6)x - 4
slope = -1/6
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Parallel lines have the same slope
therefor the parallel line is
y = -(1/6)x - 6