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What is the equation of the line? (Answer choices & graph attached.)

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  • ranikashyab066


    Answer:

    Option B is the correct equation of the line.

    Step-by-step explanation:

    Here, from the above given graph we can find that if:

    x = -4, then y = 2

    and when x = 4, y = -1

    Now, slope of the line joining these two pints is: \frac{Y_2 - Y _ 1}{X_2 - X_1}  = \frac{2 - (-1)}{-4 -4} = -1/8

    m = -(1/8)

    Now, by point slope formula,the equation of line is:

    y - y0 = m  (x-x0)

    So, (y -2) =  -\frac{3}{8} (x + 4)

    Hence, option B is the correct equation of the line.