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