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Answer:
3x -5y = -38
Step-by-step explanation:
The equation of the perpendicular line can be formed by swapping the coefficients of x and y in the given equation, negating one of them. The new constant will be the one that lets the given point satisfy the equation.
given: 5x +3y = 5
perpendicular: 3x -5y = constant
At the given point, the constant is ...
3(-6) -5(4) = -18 -20 = -38
So, the desired equation is ...
3x -5y = -38
