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26 December, 19:23

Write the equation of a line parallel to Y = 3X - 2 that passes through the (6,2)

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  1. 26 December, 22:52
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    y = 3x - 16

    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)

    y = 3x - 2 ← is in slope - intercept form

    with m = 3

    Parallel lines have equal slopes, thus

    y = 3x + c ← is the partial equation

    To find c substitute (6, 2) into the partial equation

    2 = 18 + c ⇒ c = 2 - 18 = - 16

    y = 3x - 16 ← equation of line
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