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.
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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.
if the slope of a line is 2/3, then the slope of a parallel line would be 2/3.
The parallel line would also have a slope of zero (both are horizontal lines).
The slope is rise over run. If another line was parallel, the slope would be the same.
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