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25 June, 01:22

Write the slope intercept form of a line through (6, - 7) and parallel to y = x - 9

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  1. 25 June, 03:23
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    y = x - 13

    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 - 9 ← 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 (6, - 7) into the partial equation

    - 7 = 6 + c ⇒ c = - 7 - 6 = - 13

    y = x - 13 ← equation of parallel line
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