Question 119073
The given equation is: 2x + 4y = - 7 and the point is (-3, -2) 


any line perpendicular to this line will have the inverse slope of this line.


that is the slope of this line is: {{{(-1/2)}}} 


so slope of the line perpendicular to the given line is 2. and passing through 
(-3,-2)

so the eqn of the line is given by: 


y = mx + c


-2 = (2)(-3) + c


==> -2 = -6 + c


==> -2 + 6 = c


==> 4 = c


therefore, the equation of the line is given by


y = 2x + 4