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Determine the equation of the
line that passes through the
point (3, 2) that is
perpendicular to the line
y = 1/3x + 2.

Respuesta :

altavistard

Answer:

y = -3x + 5

Step-by-step explanation:

The slope of any line perpendicular to the given y = 1/3x + 2 is the negative reciprocal of 1/3:  m = -3.

Starting with y = mx + b, substitute -3 for m, 3 for x and 2 for y.  We get:

2 = -3 + b, or b = 5.

Then the desired equation is

y = -3x + 5

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