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put this solution on YOUR website!Given line is -3x + 2y = 15
==> 2y = 3x + 15
==> y = 3/2 x + 15/2
This is of the form y = mx + c where m is the slope.
So slope of this line is 3/2
Therefore the slope of the perpendicular line is -1/(3/2){as product of the slopes of perpendicular ines is -1 always]
= -2/3
Thus the slope of the line perpendicular to the given line is -2/3