What is the slope of a line perpendicular to the line 2x+4y=9?

Step-by-step explanation:from the condition of perpendicularity, for two lines to be perpendicular to each other, the product of their gradients must be equal to (-1). m1m2 = - 1.

Therefore, from the equation given.

2x + 4y = 9; from. equation of a straight line, y = mx + c, when the equation above is rearanged,

4y = - 2x + 9, divide through by 4, gives; y = - 2x/4 + 9/4

y = - x/2 + 9/4, therefore, m1 = - 1/2 since m1m2 = - 1 and m1 = -1/2, therefore. - m2/2 = - 1, multiply through by - 1 gives m2/2 = 1, therefore, m2 which is the required slope will be equaled to 2.

The answer is 2.