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

Mathematics

2 answers:

Tanya [424]3 years ago

5 0

Answer:

-1/2

Step-by-step explanation:

murzikaleks [220]3 years ago

4 0

Answer:

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.

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