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Karo-lina-s [1.5K]
3 years ago
10

What is the slope of the line represented by the equation y = -1/2x + 1/4?

Mathematics
2 answers:
Murrr4er [49]3 years ago
7 0

Answer:

<em>m=-1/2</em>

Step-by-step explanation:

The equation is in y=mx+b form. M is the slope. In this equation, -1/2 is m.

Therefore the slope is -1/2.

Darya [45]3 years ago
3 0

Answer:

slope = -1/2

Step-by-step explanation:

y=mx+b

m -slope

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5 0
3 years ago
Write each equation in standard form.<br> y - 10 = 2(x - 8)<br> How do I solve this
fredd [130]

First, we can expand the terms on the right side of the equation:

y

−

10

=

2

(

x

−

8

)

y

−

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=

(

2

×

x

)

−

(

2

×

8

)

y

−

10

=

2

x

−

16

Next, we can add

10

and subtract

2

x

from each side of the equation:

−

2

x

+

y

−

10

+

10

=

−

2

x

+

2

x

−

16

+

10

−

2

x

+

y

−

0

=

0

−

6

−

2

x

+

y

=

−

6

Now, multiply each side of the equation by

−

1

−

1

(

−

2

x

+

y

)

=

−

1

×

−

6

(

−

1

×

−

2

x

)

+

(

−

1

×

y

)

=

6

2

x

+

(

−

y

)

=

6

or

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4 0
3 years ago
Read 2 more answers
The first term in a geometric sequence is 54, and the 5th term is 2 / 3. Find an explicit form for the geometric sequence.
quester [9]

Answer:  ar^{n-1}=54(\dfrac{1}{3})^{n-1}

Step-by-step explanation:

The nth term for a geometric sequence is given by :-

a_n=ar^{n-1}    (1)

We are given that The first term in a geometric sequence is 54. i.e. a=54

5th term=\dfrac{2}{3}   (2)

Put n=5 and a= 54 in (1), we get

a_5=(54)r^{4}=     (3)

From (2) and (3), we have

\Rightarrow(54)r^{4}=\dfrac{2}{3}\\\\\Rightarrow r^4=\dfrac{2}{3}\times\dfrac{1}{54}=\dfrac{1}{3\times27}=\dfrac{1}{81}\\\\\Rightarrow\ r=(\dfrac{1}{81})^{\frac{1}{4}}=\dfrac{1}{3}

Explicit form for the geometric sequence: ar^{n-1}=54(\dfrac{1}{3})^{n-1}

3 0
4 years ago
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Rom4ik [11]
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5 0
3 years ago
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Kruka [31]

Answer:

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3 0
3 years ago
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