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14 December, 00:51

Write an equation in slope intercept form of the line with the given parametric equations x=8t+3 y=9t+3

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  1. 14 December, 01:07
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    The slope intercept equation of the line is:

    y = (9/8) x - (3/8)

    Step-by-step explanation:

    - They give us 2 parametric equations to arrive at y = mx + b (Slope intersection equation)

    1. X = 8t + 3

    2. Y = 9t + 3

    - We first convert in terms of t to compare both equations:

    1. x = 8t + 3

    x - 3 = 8t

    t = (x - 3) / 8

    - Same for the following:

    3. y = 9t + 3

    y - 3 = 9t

    t = (y - 3) / 9

    - Now equating by comparing both equations, we will find y:

    (x - 3) / 8 = (y - 3) / 9

    9x - 27 = 8y - 24

    9x - 3 = 8y

    - Clearing and comparing both parameters gives us:

    y = (9/8) x - 3/8
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