Sheila needs to determine the equation of a line passing through the point (–6, –2) that is perpendicular to y = 2x– 4. Which equation best represents Sheila's equation?
slope of original line = 2
so slope of perpendicular = -1/2
y = -x/2 + b
-2 = -(-6)/2 + b
-4 = 6 + 2 b
-10 = 2 b
b = -5
so
y = -x/2 -5
or
2y = -x -10