Question 367329
First, I would define the rules:  Parallel lines have the same slope; perpendicular lines have "egative reciprocal"slopes. Next, convert each line into the slope-intercpt formate y-mx+b.
5x+3y=7
3y=-5x+7
3y/3=-5/3x+7/3
So the slope is -5/3
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3x-5y=5
-5y=-3x+5
-5y/-5=(-3/-5x)-5/5
y=3/5x-1
so, the slope is 3/5
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Since the slopes are the "negative reciprocals" of each other, they are __________________?