Hi there! I am here to help you!
- Please remember that perpendicular lines have slopes that are opposite reciprocals.
- This means we take a number, flop it over, and change its sign.
- Here, we have
- [tex]\displaystyle-\frac{1}{5}[/tex]
- First, flop it over:
- [tex]\rm{-5[/tex]
- Change its sign:
- 5
- Thus, the slope of the line perpendicular to the given line is 5.
- Now, what is the equation of the line?
- We have the slope of the line and a point that it intersects.
- So, we can write the equation in Point-Slope Form:
- y-y1=m(x-x1)
- y-1=5(x-(-5)
- y-1=5(x+5)
- y-1=5x+25
- y=5x+25+1
- y=5x+26
Answer:
y=5x+26
Hope you find it helpful.
~Nature~
Enjoy your day! :)
