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19 May, 11:08

Write an equation of the line that passes through (2, 0) and is perpendicular to the line y=-1/7x-3

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  1. 19 May, 14:21
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    y = 7x - 14

    Step-by-step explanation:

    If the given line has slope - 1/7, then any perpendicular line has the slope which is the negative reciprocal of - 1/7. That is + 7.

    Apply the slope-intercept formula for the equation of a straight line, using 0 for y, 2 for x and searching for the y-intercept value b:

    0 = 7 (2) + b. Then b = - 14, and the desired equation is y = 7x - 14.
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