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Find the slope of a line parallel to the line whose equation is 6, x, minus, 10, y, equals, minus, 1006x−10y=−100. Fully simplify your answer

Question

Find the slope of a line parallel to the line whose equation is 6, x, minus, 10, y, equals, minus, 1006x−10y=−100. Fully simplify your answer

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Solution

The slope of a line given by the equation Ax + By = C is -A/B. In this case, A is 6 and B is -10. Therefore, the slope of the line given by the equation 6x - 10y = -100 is -6/(-10) = 0.6.

Since parallel lines have the same slope, the slope of a line parallel to the given line is also 0.6.

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