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23 July, 13:04

Equation of the line through (2,6) and parallel to y=4x-5

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  1. 23 July, 14:17
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    y = 4x - 2

    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 = 4x - 5 ← is in slope - intercept form

    with slope m = 4, thus

    y = 4x + c ← is the partial equation

    To find c substitute (2, 6) into the partial equation

    6 = 8 + c ⇒ c = 6 - 8 = - 2

    y = 4x - 2 ← equation of parallel line
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