Write an equation in whatever form you choose with the given characteristics Parallel to y = 3/5x – 8 and passes through (0, -3)​

Question

Write an equation in whatever form you choose with the given characteristics Parallel to y = 3/5x – 8 and passes through (0, -3)​

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Acacia 3 weeks 2021-08-25T20:08:20+00:00 1 Answers 0 views 0

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    2021-08-25T20:09:55+00:00

    Answer (this one’s written in slope-intercept form):

    y= \frac{3}{5}x -3

    Step-by-step explanation:

    1) Lines that are parallel to each other have the same slope. The line y=\frac{3}{5} x-8 is in slope intercept form, or y = mx + b form, and the number in place of m represents the slope. Knowing this, it looks like \frac{3}{5} is in the place of the m in that equation, so  \frac{3}{5} is the slope – and the slope we need to use for the answer, too.

    2) Once you know a point that the line must pass through and a slope, you can write an equation with point-slope form, or y-y_1 = m (x - x_1). m is the slope and x_1 and y_1 are the x and y values of the point it must pass through. So, substitute \frac{3}{5} for m, 0 for x_1, and -3 for y_1. Simplify and isolate y to put it in slope-intercept form:

    y-(-3) = \frac{3}{5} (x - 0) \\y + 3 = \frac{3}{5} x - 0 \\y = \frac{3}{5} x - 3

    3) Thus, y = \frac{3}{5} x - 3\\ is the answer. It’s written in slope-intercept form.

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