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27 March, 18:41

Find the equation of the line that passes through (1,-2) and is parallel to y=3x+4

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  1. 27 March, 19:29
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    y = 3x - 5

    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 + 4 ← is in slope - intercept form

    with slope m = 3

    Parallel lines have equal slopes, thus

    y = 3x + c ← is the partial equation of the line

    To find c substitute (1, - 2) into the partial equation

    - 2 = 3 + c ⇒ c = - 2 - 3 = - 5

    y = 3x - 5 ← equation of line
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