SOLUTION: Find an equation for the given line in the form ax+by=​c, where​ a, b, and c are integers with no factor common to all three and a≥0. Through ​(minus&#8722

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Question 1109538: Find an equation for the given line in the form ax+by=​c, where​ a, b, and c are integers with no factor common to all three and a≥0.
Through ​(minus−8​,12​); parallel to 3 x plus 2 y equals 17

Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
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Through ​(minus−8​,12​); parallel to 3 x plus 2 y equals 17
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You can start with point-slope form.
Given equation is ; so slope of this is .

You want, first, the equation
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Answer by greenestamps(13215)   (Show Source): You can put this solution on YOUR website!


If it is parallel to 3x+2y=17, then it is in the form 3x+2y=k for some constant k.

To find the value of k, use the fact that the coordinates of the given point satisfy the equation:




The equation is 3x+2y=0.

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