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9 November, 01:40

13) through: (2, - 3), parallel to y = - x + 4

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  1. 9 November, 05:37
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    y = - x - 1

    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 = - x + 4 ← is in slope - intercept form

    with slope m = - 1

    Parallel lines have equal slopes, thus

    y = - x + c ← is the partial equation of the parallel line

    To find c substitute (2, - 3) into the partial equation

    - 3 = - 2 + c ⇒ c = - 3 + 2 = - 1

    y = - x - 1 ← equation of parallel line
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