Question 766983
Ans:- x+2y+10=0

Explanation-
Given equation of line is y=2x-4.
comparing this line with standard equation of line in slope intercept form
y=mx+c.
here m= 2.
let the equation of required line is y=Mx+k.


from condition of perpendicularity of two straight line m*M= -1. 
M= -1/m. i.e -1/2.

putting the value of M in  required equation.

y=-x/2+k
i.e 2y= -x+K,    where 2k= K.

as this passes through the point ( -6,-2) so this will satisfy the equation.

hence 2(-2)= -(-6)+K.

solving it for K= 10

so Equation for new line will be

x+2y+10=0.