How do I find a standard equation of a perpendicular line with just the points (5,1)?
It is not possible to find the equation of a perpendicular line given just one point. There are an infinite number of lines that pass through any given point. To uniquely define a line it is essential to have two points that lie on the line. And unless a unique line and a unique point on the line are known it is not possible to determine the equation of a perpendicular line.
Given just a point (5, 1) it is not possible to determine the equation of a perpendicular line.
Through given point (5,1) ,an infinite number of lines can be drawn so consequently an infinite number of perpendicular lines too can be found.
If we assume a general equation
y=mx+c ,which posses through (5,1)
then a perpendicular line ,perpendicular to it will be
so find unique line we two given conditions.