which equation describes the line that passes through the point (-4,-8) and is parallel to the line represented by the equation 7x – 2y = 8

Question

which equation describes the line that passes through the point (-4,-8) and is parallel to the line represented by the equation 7x – 2y = 8

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Cherry 5 years 2021-08-19T12:06:51+00:00 1 Answers 12 views 0

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  1. phucdien
    0
    2021-08-19T12:08:25+00:00
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    Answer:

    The equation is;

    2y = 7x + 12

    Step-by-step explanation:

    General equation form is ;

    y = mx + b

    where m is slope and b is y-intercept

    Let us rewrite the first equation;

    2y = 7x – 8

    y = 7x/2 – 4

    the slope here is 7/2

    If two lines are parallel, their slopes are equal

    so we use the point-slope form to get the second equation

    y-y1 = m(x-x1)

    (x1,y1) = (-4,-8)

    Thus, we have

    y + 8 = 7/2(x + 4)

    2y + 16 = 7x + 28

    2y = 7x + 12

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )