Find the slope of a line parallel to the line whose equation is 3, x, plus, 18, y, equals, minus, 4863x+18y=−486. Fully simplify your answer.
Question
Find the slope of a line parallel to the line whose equation is 3, x, plus, 18, y, equals, minus, 4863x+18y=−486. Fully simplify your answer.
Solution
The slope of a line given by the equation in the form Ax + By = C is -A/B. In this case, the equation of the line is 3x + 18y = -486. Therefore, the slope of this line is -3/18 = -1/6.
A line parallel to another line will have the same slope. Therefore, the slope of the line parallel to the given line is also -1/6.
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