Find the slope of a line parallel to the line whose equation is x, plus, 6, y, equals, minus, 54x+6y=−54. Fully simplify your answer.
Question
Find the slope of a line parallel to the line whose equation is x, plus, 6, y, equals, minus, 54x+6y=−54. Fully simplify your answer.
Solution
The slope of a line given by the equation in the form Ax + By = C is -A/B.
The given equation is x + 6y = -54.
Here, A = 1 and B = 6.
So, the slope of the given line is -1/6.
Since parallel lines have the same slope, the slope of the line parallel to the given line is also -1/6.
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