A line passes through the point (-4, -2) and has a slope of -5/2. Write an equation in slope- intercept form for this line.

Question

A line passes through the point (-4, -2) and has a slope of -5/2. Write an equation in slope- intercept form for this line.

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Thu Hương 6 months 2021-08-15T03:18:44+00:00 1 Answers 9 views 0

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    2021-08-15T03:20:41+00:00

    Answer:

              y = -⁵/₂x – 12

    Step-by-step explanation:

    The point-slope form of the equation is y – y₀ = m(x – x₀), where (x₀, y₀) is any point the line passes through and m is the slope:


    m = -⁵/₂

    (-4, -2)    ⇒   x₀ = -4,  y₀ = -2

    The point-slope form of the equation:


    y + 2 = -⁵/₂(x + 4)

    So:


    y + 2 = -⁵/₂x – 10        
    {subtract 2 from both sides}

    y = -⁵/₂x – 12             ←  the slope-intercept form of the equation

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