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PLEASE HELP ME !!!!! What is the equation of the line that passes through (–2, –3) and is perpendicular to 2x – 3y = 6?

PLEASE HELP ME !!!!! What is the equation of the line that passes through (–2, –3) and is perpendicular to 2x – 3y = 6?
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2 votes
PLEASE HELP ME !!!!!

What is the equation of the line that passes through (–2, –3) and is perpendicular to 2x – 3y = 6?

asked
User Ilya Chumakov
by
7.4k points

1 Answer

1 vote
put 2x - 3y = 6 in y = mx + b form
-3y = -2x + 6
y = (2/3)x - 2
So 2/3 is the slope of this line.
-3/2 is the slope of the perpendicular line.

y + 3 = (-3/2)(x + 2) is the equation of the line in point slope form.
answered
User Beren
by
8.0k points
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