A line has a slope of 3. A perpendicular line is drawn to this and it passes through the point (5, 4), what is the equation of the line.
The product of the slope of two perpendicular lines is equal to -1. If a line is perpendicular to a line with slope 3, the slope of the line is equal to `-1/3` .
As the line passes through the point (5,4), the equation of the line is `(y - 4)/(x - 5) = -1/3`
=> 3(y - 4) = 5 - x
=> 3y - 12 = 5 - x
=> x + 3y - 17 = 0
The required equation of the line is x + 3y - 17 = 0