Write an equation of the line that passes through (8,1) and is perpendicular to the line 2y+4x=12.

Answer:The equation of the perpendicular line is 2x-4y -12=0Step-by-step explanation:ExplanationGiven that the equation of the line is 4x+2y-12=0The equation of the perpendicular line b x -ay +k=0The equation of the perpendicular line  2x -4y +k=0This line passes through the point (8,1)                            2(8)-4(1)+k=0                       ⇒ 16 -4+k=0                     ⇒   12 +k=0                            k =-12The equation of the perpendicular line is 2x-4y -12=0