To determine the slope of line [tex]\( s \)[/tex], let's consider the given information:
1. Lines [tex]\( r \)[/tex] and [tex]\( s \)[/tex] are parallel.
2. The slope of line [tex]\( r \)[/tex] is [tex]\( \frac{2}{5} \)[/tex].
By definition, parallel lines have identical slopes. This means that if two lines are parallel, the slope of one line is exactly the same as the slope of the other line.
Since we know the slope of line [tex]\( r \)[/tex] is [tex]\( \frac{2}{5} \)[/tex], and given that line [tex]\( s \)[/tex] is parallel to line [tex]\( r \)[/tex], the slope of line [tex]\( s \)[/tex] must also be [tex]\( \frac{2}{5} \)[/tex].
Therefore, the correct slope of line [tex]\( s \)[/tex] is [tex]\( \frac{2}{5} \)[/tex].
The correct answer is:
D. [tex]\( \frac{2}{5} \)[/tex]
