Given:
Equation of line .
To find:
The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.
Solution:
The given equation of line can be written as
Slope of line is
Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is
Now, the slope of perpendicular line is and it goes through (-21,2). So, the equation of line is
Therefore, the required equation in slope intercept form is .