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30 September, 11:23

A linear equation that passes through (-6,-5) and parallel to 2x-3y=12

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  1. 30 September, 14:33
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    y = 2/3x-1

    Step-by-step explanation:

    The general formula for linear graph is y=mx + c. Let's convert the equation of the parallel line to be same as the formula:

    2x-3y = 12

    -3y = 12 - 2x

    y = 2/3x-4

    Parallel lines won't ever be met because a couple of parallel lines will have the same slope (m). We know how much m is (m=2/3), then we just need to find c. We can do it by adding the value of the coordinate that the line pass (-6, - 5). The calculation will be:

    y=mx + c

    -5 = (2/3) (-6) + c

    c = - 5 + 4

    c = - 1

    The equation will be:

    y=mx + c

    y = 2/3x-1
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