What is the equation of the line that passes through #(2,1)# and is perpendicular to the line that passes through the following points: #(8,-5),(3,9) #?
First of all we have to find out the slope of the line that passes through
After knowing the slope of the line passing through
Let the slope of the line perpendicular to
Now, we know two things about the required line
(i) Slope of that line
(ii) The point through which the line passes
These two things are enough to find the equation.
Using point-slope form
This is the required equation.