How to find the slope of parallel lines - Math

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Question

What is the slope of a line parallel to the line described by 3x + 8y =16?

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Answer

First, you should put the equation in slope intercept form (y = _m_x + b), where m is the slope.

Isolate the y term

3x + 8y – 3x = 16 – 3x

8y = 16 – 3x

Rearrange terms

8y = –3x +16

Divide both sides by 8

The slope of the line is -3/8. A parallel line will have the same slope, thus -3/8 is the correct answer.

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