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2 years ago

9

Mathematics

1 answer:

zlopas [31]2 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

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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$a_{n} = a_{1} • r^{n-1}$ →

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We can test that this works by substituting the number location of the term you want to find.

For instance:

$a_{1} = 32 • (\frac{1}{2})^{1-1}$

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$a_{1} = 32 • 1$

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$a_{6} = 32 • (\frac{1}{2})^{6-1}$

$a_{6} = 32 • (\frac{1}{2})^{5}$

$a_{6} = 32 • \frac{1}{32}$

$a_{6} = 1$

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