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

User Lakshay Bakshi
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2 Answers

6 votes
-2 & -3 are both negative numbers 2x 3y is not 6 2*2=4 3*3= 9 9*4= 36 div 2 =18
User Rodrigo Elias
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7.7k points
5 votes
2x + 3y = 6 => 3y = -2x + 6 => y = -2/3 x + 2 => slope is -2/3

Parallel lines has equal slope.
Required equation is (y - 3)/(x - (-2)) = -2/3 => (y - 3)/(x + 2) = -2/3 => 3(y - 3) = -2(x + 2) => 3y - 9 = -2x - 4 => 2x + 3y = 5
User Erlend Halvorsen
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9.1k points
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