Answered

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Lines [tex]$r$[/tex] and [tex]$s$[/tex] are parallel. If the slope of line [tex]$r$[/tex] is [tex]\frac{2}{5}[/tex], what is the slope of line [tex]$s$[/tex]?

A. [tex]-\frac{5}{2}[/tex]
B. [tex]\frac{5}{2}[/tex]
C. [tex]-\frac{2}{5}[/tex]
D. [tex]\frac{2}{5}[/tex]

Sagot :

GinnyAnswer
To determine the slope of line [tex]\( s \)[/tex], we need to recognize a key property of parallel lines. Specifically, parallel lines have identical slopes. This means that if two lines are parallel, they will always rise and run at the same rate, thus their slopes must be the same.

Given in the question, we know:
- The slope of line [tex]\( r \)[/tex] is [tex]\(\frac{2}{5}\)[/tex].

Since lines [tex]\( r \)[/tex] and [tex]\( s \)[/tex] are parallel, they must share the same slope. Therefore, the slope of line [tex]\( s \)[/tex] will also be [tex]\(\frac{2}{5}\)[/tex].

Thus, the correct answer is:
[tex]\[ \boxed{\frac{2}{5}} \][/tex]
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