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30 May, 13:37

Which two lines are parallel

3x+y=-2

2y-6x=4

2y=-6x-8

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  1. 30 May, 14:42
    0
    To start, solve each equation for y.

    1st equation) 3x+y=-2, subtract 3x, y=-3x-2

    2nd equation) 2y-6x=4, add 6x, 2y=6x+4, divide by 2, y=3x+2

    3rd equation) 2y=-6x-8, divide by 2, y=-3x-4

    Now, for lines to be parallel, their slope must be the same. Using the equation y=mx+b where m is slope, you can determine the slope of each line.

    1st line) y=-3x-2, slope of - 3

    2nd line) y=3x+2, slope of 3

    3rd line) y=-3x-4, slope of - 3

    Comparing these lines, you can see that only lines 1 and 3 have the same slope, making those your parallel lines.
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