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azamat
3 years ago
5

9

Mathematics
1 answer:
zlopas [31]3 years ago
8 0

Answer:

m = 1/2

Step-by-step explanation:

The given equation of line is :

2x – 4y = 9 ..(1)

We need to find the slope of the line. The general equation of a line is given by :

y = mx + c ..(2)

Where

m is the slope of line

Equation (1) can be rearranged as follow :

-4y = 9-2x

4y = -9+2x

or

4y = 2x-9

Divide both sides by 4.

\dfrac{4y}{4} = \dfrac{2x}{4}-\dfrac{9}{4}\\\\y=\dfrac{1}{2}x+(\dfrac{-9}{4}) ..(3)

Now comparing equation (2) and (3) we get :

m=\dfrac{1}{2}

So, the slope of the line is 1/2.

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