Question

Find an equation of the line L. L is perpendicular to y=-2x and is passing through points 2,-4

Answer 1

slope of line y= -2x is -2

slope of line L= (-1)reciprocal of slope line y= -2x.

=( -1)(-1/2)

=1/2

since the L passes through (2,-4),

equation of line L: y-(-4)= 1/2(x-2)

2y+8 = x-2

x-2y-10=0

Hence equation of line L is x-2y-10=0