Get in slope intercept form.
3X + 5Y = 15
5Y = -3X + 15
Y = -3/5X + 3
-3/5 is the slope of this line and the line parallel to this line
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Parallel lines have the same slope. So if you know the slope of a line in question, or you can calculate it, then you know the slope of any line parallel to that line.
For two lines to be parallel they must have the same slope. A line parallel to a line with slope -2 would have a slope of -2.
5
if the slope of a line is 2/3, then the slope of a parallel line would be 2/3.
-9/4 or -2.25