What is the equation of a line that passes through the point (9,-3) and is parallel to the line whose equation is 2x-3y=6?

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22-12-2017
Mathematics

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What is the equation of a line that passes through the point (9,-3) and is parallel to the line whose equation is 2x-3y=6?

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choixongdong choixongdong · Answer 1 · 2017-12-22T21:20:41+01:00

choixongdong choixongdong

22-12-2017

2x-3y=6
3y = 2x - 6
y = 2/3 x - 2 so slope = 2/3

parallel lines slope is the same and equal 2/3

passes through the point (9,-3)
y = mx + b
b= y - mx
b= -3 - (2/3)(9)
b= -3 -6
b= -9

equation
y = 2/3 x - 9
or
3y = 2x - 27
2x - 3y = 27 ...standard form

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