This is true simply because a 'line' in math is perfectly straight. There for when checking the rise over run, it will always be the same value.
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If two lines are parallel, then they will both have the same slope.
A line does not have an inverse!
If the line is a straight line, meaning 180degrees, it can only have one slope. If it is a function (f(x)= or y=) then the line may have more than one, one, or an undefined slope. Find the first differential of the function and plug in your given x value to find the slope at any given point.
In geometric terms, a line can have only one slope. if there is more than one slope, it is not a line, it is multiple lines or a second (or higher) order graphical representation of a function in two dimensional space.
If you are asking for slope, the slope of one line is m, the slope of the other is -1/m. For example, if the slope for one line is 5, the slope of the other line is -1/5 = -0.2 . (Math Open Reference)