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12 April, 18:31

Write an equation in slope-intercept form of the line satisfying the given conditions. The line passes through (minus1 ,3 ) and is parallel to the line whose equation is y equals 2 x plus 1.

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  1. 12 April, 22:15
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    y = 2x + 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 = 2x + 1 ← is in slope - intercept form

    with slope m = 2

    Parallel lines have equal slopes, thus

    y = 2x + ← is the partial equation of the parallel line

    To find c substitute ( - 1, 3) into the partial equation

    3 = - 2 + c ⇒ c = 3 + 2 = 5

    y = 2x + 5 ← equation of parallel line
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