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7 April, 23:57

What is the equation of a line that is parallel to y=-6x + 2 and passes through (-1, 2)

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  1. 8 April, 02:27
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    y = - 6x - 4

    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 = - 6x + 2 ← is in this form with slope m = - 6

    • Parallel lines have equal slopes, hence

    y = - 6x + c ← is the partial equation of the parallel line.

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

    2 = 6 + c ⇒ c = 2 - 6 = - 4

    y = - 6x - 4 ← equation of parallel line
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