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.
Accepted Solution
A:
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