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andriy [413]
3 years ago
10

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

Mathematics
1 answer:
aleksley [76]3 years ago
3 0

Answer:

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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