jorgellll jorgellll

25-05-2018
Mathematics

contestada

Line perpendicular to the line that goes through (0,0) and (3,2)

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altavistard altavistard

27-05-2018

Since the first line passes thru the origin, you can read off its slope from the coordinates of the other point (3,2): the slope is m = 2/3.

A line perpendicular to the first has slope -3/2, the negative reciprocal of 2/3.

Thus, the perpendicular line is y = (-3/2)x + b. Subbing 0 for y and 0 for x, we get b = 0. Therefore, the equation of this new line is y = (-3/2)x.

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