Hi there!
When the slopes of two perpendicular lines are multiplied the outcome will be -1.
The slope is the number that is positioned in front of the variable x in the formula. In this case the slope of the given line is -2/5.
Let's call the slope of the perpendicular line m and take into account the given data of the question and my earlier explanation. We then find the following:
![- (2)/(5) * m = - 1](https://img.qammunity.org/2019/formulas/mathematics/high-school/fyv81s1gzairvpra32iie08w7iswfs1ido.png)
Divide both sides by - 2/5.
![m = ( - 1)/( - (2)/(5) ) = 2 (1)/(2) = (5)/(2)](https://img.qammunity.org/2019/formulas/mathematics/high-school/fzjujl90w63n4nsmtxmbn7ve5df37ax04f.png)
The answer is B.
~ Hope this helps you!