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6 November, 11:32

Box with four balls weighs 5 pounds the same box with 10 balls weighs 11 pounds write an equation in slope intercept form for the weight of why of a box containing X balls then rewrite rewrite the equation in standard form using integer coefficients

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  1. 6 November, 15:04
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    Step-by-step explanation:

    The equation of a straight line can be represented in the slope-intercept form, y = mx + c

    Where c = intercept

    Slope, m = change in value of y on the vertical axis / change in value of x on the horizontal axis

    change in the value of y = y2 - y1

    Change in value of x = x2 - x1

    y2 = final value of y

    y 1 = initial value of y

    x2 = final value of x

    x1 = initial value of x

    The line passes through (2,-1) and (4,5),

    y2 = 11

    y1 = 5

    x2 = 10

    x1 = 4

    Slope, m = (11 - 5) / (10 - 4) = 6/6 = 1

    To determine the intercept, we would substitute x = 4, y = 5 and

    m = 1 into

    y = mx + c. It becomes

    5 = 1 * 4 + c = c + 4

    c = 5 - 4 = 1

    The equation becomes

    y = x + 1

    The standard form is represented as

    Ax + By + C = 0

    y - x - 1 = 0

    Multiplying through by - 1, it becomes

    x - y + 1 = 0
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