What is the equation of a line that is perpendicular to 2x+y=−4 and passes through the point (2, −8) ? enter your equation in the box.

Rearranging the equation  to slope-intercept for:-
y = -2x - 4 This is a line with slope of -2
A line perpendicular   to it will have a slope of -1 / (-2)  = 1/2

write this line in point-slope form using the point (2,-8) and slope = 1/2 we have

y - (-8)  = 1/2 ( x - 2)
y = 1/2(x - 2) - 8
y = 1/2x - 9   <  tahts the answer

Ineed with this same question!