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23 August, 17:20

What is the equation of a line that is parallel to y=47x-3 and passes through (14, 4) ?

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  1. 23 August, 17:46
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    Step-by-step explanation:

    The equation of a straight line can be represented in the slope-intercept form, y = mx + c

    Where

    m = slope

    c = intercept

    The equation of the given line is

    y = 47x - 3

    Comparing with the slope intercept equation, m = 47

    If two lines are parallel, it means that they have equal slope. This means that the slope of the line passing through (14, 4) is 47

    We would determine the intercept, c by substituting m = 47, x = 14 and y = 4 into y = mx + c. It becomes

    4 = 47 * 14 + c

    4 = 658 + c

    c = 4 - 658 = - 654

    The equation becomes

    y = 47x - 654
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