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27 August, 21:48

Are the lines y=-x-2 and 4x+4y=16 perpendicular? Explain

A. Yes; their slopes have product - 1

B. No; their slopes are not opposite reciprocals

C. yes; their slopes are equal

D. No; their slopes are not equal

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Answers (1)
  1. 27 August, 23:39
    0
    First rearrange the second equation into the form y = mx + b (where m = slopeof the graph of the equation) : -

    4x + 4y = 16

    4y = - 4x + 16

    y = - x + 4

    now compare the slope with

    y = x - 2

    slope of the first one is - 1 and slope of the second is 1

    slopes have product of 18-1 = - 1 so the 2 lines are pependicukar

    A is correct
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