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6 July, 06:15

Which of the following is true about the relationship between the slopes of the lines whose equations are 8x - 9y = 5 and 9x - 8y = 1?

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  1. 6 July, 07:48
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    The answer is they are reciprocal.

    (1) Express both equations in the slope-intercept form: y = mx + b, where m is slope:

    8x - 9y = 5

    9y = 8x - 5

    y = 8/9x - 5/9

    m1 = 8/9

    9x - 8y = 1

    8y = 9x - 1

    y = 9/8x - 1/8

    m2 = 9/8

    So, m1 = 8/9 and m2 = 9/8. They are reciprocal
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