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What is the slope of the line parallel to 7x + 4y = -16?

1 Answer

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Answer:

The slope of the line that is parallel to the given line is
(-7)/(4)

Explanation:

Parallel lines have the same slopes and different y-intercepts

The slope of the line who has an equation ax + by = c is m =
(-a)/(b)

Let us use these rules to solve the question

∵ The equation of a given line is 7x + 4y = -16

→ Compare it with the form of the equation above

∴ a = 7 and b = 4

∵ The slope of the line =
(-a)/(b)

∴ The slope of the line =
(-7)/(4)

∵ Parallel lines have the same slope

The slope of the line that is parallel to the given line is
(-7)/(4)

User Nader Ghanbari
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