Respuesta :
The slope of the line [tex]2 x+y=-4 [/tex] is [tex] m=-2 [/tex].
The line perpendicular to the above line has slope [tex] -\frac{1}{m} =\frac{1}{2} [/tex] . Its equation is [tex] y=\frac{1}{2} x+c [/tex]. Since this line passes through, [tex] (2,-8) [/tex],
[tex] -8=\frac{1}{2} (2)+c\\c=-9 [/tex]
Thus the equation of the line in slope intercept form is [tex] y=\frac{1}{2} x-9 [/tex]
