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18 August, 12:48

Parallel to y + 8x = 4 through (3, 4); slope-intercept form

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  1. 18 August, 13:11
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    y = - 8x + 28

    Step-by-step explanation:

    The equation of a line in slope - intercept form is

    y = mx + c (m is the slope and c the y - intercept)

    Rearrange y + 8x = 4 into this form

    Subtract 8x from both sides

    y = - 8x + 4 ← in slope - intercept form

    with slope m = - 8

    Parallel lines have equal slopes, thus

    y = - 8x + c ← is the partial equation

    To find c substitute (3, 4) into the partial equation

    4 = - 24 + c ⇒ c = 4 + 24 = 28

    y = - 8x + 28 ← equation of line
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