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Scrat [10]
3 years ago
10

What equation is graphed in this figure?

Mathematics
1 answer:
topjm [15]3 years ago
8 0

Answer:

The third equation: y+2=-3(x-1)

Step-by-step explanation:

The two points on the line are (-1,4) and (1,-2).

Slope of the line passing through two points (x_{1},y_{1}) and (x_{2},y_{2}) is given as:

m=(y_{2} -y_{1})/ (x_{2} -x_{1})

Here, (x_{1},y_{1}) and (x_{2},y_{2}) are (-1,4) and (1,-2).

Therefore, slope is equal to, m=(-2-4 )/ (1-(-1)

                                               m=-6/2

                                               m=-3  

Now, equation of a straight line with slope m and points (x_{1},y_{1}) and (x_{2},y_{2}) is given as:

y-y_{1}=m(x-x_{1})\\y-y_{2}=m(x-x_{2})

Now, if we use the 2nd form, then x_{2}=1,y_{2}=-2.

So, the equation is given as :

y-(-2)=-3(x-1)\\y+2=-3(x-1)

                                                 

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Mr. Turney wrote the value statement "x = 2" on the whiteboard. He asked his students to create an equation or inequality with t
boyakko [2]

Answer:

Some of the equations can be written as-

1. 2x = 4

2. 3x + 9 = 15

3. x + 5 = 7

4. 5x - 2 = 8

Step-by-step explanation:

Given - Mr. Turney wrote the value statement "x = 2" on the whiteboard.

To find - He asked his students to create an equation or inequality with

              this value as a solution.

Proof -

Given that, The value statement is ''x = 2''

We have to find out that equation in such a way that if we solve the equation , we get the value x = 2

There can be infinite many equation that give the value statement '' x = 2''

Some of the equations can be written as-

1. 2x = 4

2. 3x + 9 = 15

3. x + 5 = 7

4. 5x - 2 = 8

And many more.

Verification -

1. 2x = 4

⇒x = \frac{4}{2}

⇒x = 2

Verified

2. 3x + 9 = 15

⇒3x = 15 - 9

⇒3x = 6

⇒x = \frac{6}{3}

⇒x = 2

Verified

3. x + 5 = 7

⇒x = 7 - 5

⇒x = 2

Verified

4. 5x - 2 = 8

⇒5x = 8 + 2

⇒5x = 10

⇒x = \frac{10}{5}

⇒x = 2

Verified

7 0
3 years ago
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lilavasa [31]
21\25
=========================
3 0
3 years ago
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Aleks [24]
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3 years ago
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mote1985 [20]

Answer:

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Step-by-step explanation:

x + 6 = x + x

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Subtract x from each side

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3 0
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