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Find the equation of the line. A line that is perpendicular to the graph of 3x +2y =6 and contains the point (6,-3)

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Sqdancefanidn

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Answer:

  2x -3y = 21

Step-by-step explanation:

The perpendicular line will have an equation with the x- and y-coefficients swapped and one of them negated. The constant will be the value that makes the equation true at the given point.

  3x +2y = 6 . . . . . given equation

  2x -3y = c . . . . . . coefficients swapped, one negated

  2(6) -3(-3) = c = 21 . . . . . the value of c for the given point

The desired equation is ...

  2x -3y = 21

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