write and equation in slope-intercept form of the line with the given parametric equations x=8t + 3 y=9t + 3​

Question

write and equation in slope-intercept form of the line with the given parametric equations
x=8t + 3
y=9t + 3​

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Ivy 1 week 2022-01-12T02:27:53+00:00 1 Answer 0 views 0

Answers ( )

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    2022-01-12T02:29:24+00:00

    Answer:

    y = \frac{9x}{8} - \frac{3}{8}

    Step-by-step explanation:

    An equation in slope-intercept form has the following format:

    y = mx + b

    In this problem, we have that:

    x = 8t + 3

    y = 9t + 3

    How can we write in slope-intercept?

    In the first equation, i am going to solve t as a function of x. So

    8t = x - 3

    [te]t = \frac{x – 3}{8}[/tex]

    Now i replace in the second equation

    y = 9\frac{x - 3}{8} + 3

    y = \frac{9x - 27}{8} + \frac{24}{8}

    y = \frac{9x}{8} - \frac{3}{8}

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