Write the equation of the line that is parallel to the line 4x − 3y = −12 and passes through the point (−3, 4) .

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02-09-2016
Mathematics

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Write the equation of the line that is parallel to the line 4x − 3y = −12 and passes through the point (−3, 4) .

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Please I have the answers I just want to double check them and Solvekey: B=42 A=93 N=29 X=361. (b-7)(2b-7)2. (4a-4)(5a-7)3. (5n-6)(4n+7)4. (2n=8)(8n+3)5. (6x

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Please I have the answers I just want to double check them and Solvekey: B=42 A=93 N=29 X=361. (b-7)(2b-7)2. (4a-4)(5a-7)3. (5n-6)(4n+7)4. (2n=8)(8n+3)5. (6x

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nobillionaireNobley nobillionaireNobley · Answer 1 · 2016-09-04T11:45:00+02:00

nobillionaireNobley nobillionaireNobley

04-09-2016

4x - 3y = -12 => 3y = 4x + 12 => y = 4/3 x + 4 => slope is 4/3

Parallel lines have equal slope.
i.e. required equation is (y - 4)/(x - (-3)) = 4/3 => (y - 4)/(x + 3) = 4/3 => 3(y - 4) = 4(x + 3) => 3y - 12 = 4x + 12 => 4x - 3y = -24

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