Write an equation of the line that passes through (8.1) and is perpendicular to the line 2y + 4x = 12

The equation of the perpendicular line is 2x-4y -12=0

Step-by-step explanation:

Explanation

Given that the equation of the line is 4x+2y-12=0

The equation of the perpendicular line b x -ay +k=0

The equation of the perpendicular line  2x -4y +k=0

This line passes through the point (8,1)

                           2(8)-4(1)+k=0

                      ⇒ 16 -4+k=0

                    ⇒   12 +k=0

                           k =-12

The equation of the perpendicular line is 2x-4y -12=0

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