Help math math math math

Question

asked Jan 19, 2023 135k views

2 Answers

Abhishek Kedia · Answer 1 · 2023-01-24T23:16:54+0000

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
$\displaystyle-(1)/(5)$
First, flop it over:
$\rm{-5$
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! :)