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Which of the following equations represents the equation for the line that is parallel to the given line and passes through the given point?
y= 1/5 x - 10; (15, -16)

A. y = -5x +19
B. y = 1/5x + 91/5
C. y = 1/5 x - 19
D. y = 5x - 19

I do know that to be parallel the slopes need to be the same. Please explain how you solve this.

  • math -

    Since the slope must be the same, it limits it to
    choices B or C, since both have 1/5 as the slope

    so plug in the given point to see which one satisfies the equation

  • math -

    Reiny, I'm not sure how to do that.

  • math -

    try it in B
    y = 1/5 x + 91/5
    plug in (15,-16)

    -16 = (1/5)(15) + 91/5
    -16 = 3 + 91/5 , which is not true,
    so it better be C

    y = 1/5 x - 19
    -16 = (1/5)(15) - 19
    -16 = 3-19
    -16 = -16 , ahhh that's true, so it must be C

  • math -

    Thank you so much for explaining it in detail. I really appreciate it.

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