Find the equation of the line passing through 2 1 and perpendicular to the line 2x ndash y 4 ...

Find the equation of the line passing through (2, -1) and perpendicular to the line 2x – y = 4.

Slope of the given line is 2. By comparing with y=mx+c
The perpendicular lines have the product of their slopes= (-1)
So, slope of new line will be (-1/2)
Equation of line will be y=mx+c
M=-1/2
So we get, y= (-1/2)x+k
We are given the point (2,-1) that will satisfy this line.
Putting these coordinates we get k=0 and the line becomes = x+2y=0

By: Amit Kumar