Let's do this question, find the perpendicular distance of point B, which is three comma, minus four
from the line three plus four Y minus five is equal to zero.
All right.
Pause the video, give it a try and then let's do it together.
All right.
We are back.
Let's do it together.
At the given point is three comma minus four.
And the line is three X plus four Y minus five is equal to zero.
Right.
And we need to find the perpendicular distance.
Now we know how to do that.
The distance would be.
Three in the three, plus four in the minus four, minus five divided by root of three squared plus
four square.
Right.
Well here we substitute a three comma minus four into this equation.
So instead of X, we have three, right?
Instead of white, we have minus four.
And then we have the remaining part of this equation.
So and in the denominator, we have a lot of square, let's be square.
And three and four is B, right.
So this simplifies to nine minus 16, minus five divided by five, which is equal to minus twelve by
five.
Now the distance cannot be negative.
So you always take the positive.
That's what you mean when you take the model over here.
Right there is equal to twelve by five.
And that is your answer.