In this video, let's find out how to find the perpendicular distance of a point from a line, for example,
over here you have a line, let the equation of this line be exploited by policy is equal to zero.
All right.
Now, over here you have a point B and let the coordinates of point PBX one, comma one.
Now, over here we are asked to find the perpendicular distance that is.
This is the distance that we need to find out.
Now, this can be found out using the formula.
This is equal to a X1 plus B Wyvern policy divided by route of A squared plus B square.
Now, what is it that we are doing over here?
We are substituting X1 Wyvern into this equation over here.
So that's why over here instead of X we have X1 over here and instead of why we have Wyvern over here.
Right.
For example, you want to find the distance of two three from.
The line or X plus three, Y minus 10 is equal to zero.
So can you do that?
Yes, you just need to substitute two three over here.
So you get over into two, plus three into three, minus 10.
That's your numerator divided by square root of four squared plus three square.
That's equal to five.
Right.
Your answer is eight plus nine.
That's seventeen minus 10.
That's seven.
So you get your answer seven by five.
That would be this distance over here at this angle is 90 degrees.