How do you write an equation for the line in slope intercept form that is perpendicular to the given line and that passes through the given point 3x – 12y = –9; (1, –10)?
The slope of the given line is (using its standard eqn.
Hence, the slope of reqd. perpendicular line
The rqd. line is thro.
Therefore, using slope-point form of reqd. line, is,
A sort-cut method to find the eqn. of a line perpendicular to a given line
In our case, it is given by