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5 March, 04:49

Consider the line = + 3x6y-8. what is the slope of a line parallel to this line? what is the slope of a line perpendicular to this line?

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  1. 5 March, 05:38
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    Two lines are parallel if their slope is the same.

    You want to write 8x + 4y = 5 in the form y = mx + b, where m represents the slope and b is the y-intercept.

    We need to isolate y in the given equation. The number next to x is the slope.

    8x + 4y = 5

    4y = - 8x + 5

    y = (-8x + 5) / 4

    y = - 2x + 5/4

    The slope of the line we want is - 2.

    Two lines are perpendicular if the slope of the first line times the slope of the second line produces a product of negative one.

    Since our slope is - 2, we know that - 2 times 1/2 yields - 1.

    The slope of the line perpendicular is 1/2.
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