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olya-2409 [2.1K]
2 years ago
12

Using the table of ordered pairs, which equation shows the linear relationship between the x and y values? A. y = x + 2 B. y = x

- 2 C. y = 2x D. y = -2x

Mathematics
2 answers:
Blababa [14]2 years ago
6 0

We are given with four <em>linear equations</em> and need to find the best option which shows the relationship between <em>x and y</em> in <em>accordance</em> with the <em>given table</em> . So , for this question as their are three ordered pairs , so it will be long to put all values of x and y in every equation . So , we will be <em>checking only for one ordered pair, </em>let's say be <em>2nd i.e (1,-2) </em>

Checking for equation one :

{:\implies \quad \sf y=x+2}

{:\implies \quad \sf -2=1+2}

{:\implies \quad \sf -2=3}

As , it's <em>not possible</em> . So this <em>option is wrong</em>

Checking for equation two :

{:\implies \quad \sf y=x-2}

{:\implies \quad \sf -2=1-2}

{:\implies \quad \sf -2=-1}

As , it's <em>not possible</em> . So this <em>option is wrong </em>

Checking for equation three :

{:\implies \quad \sf y=2x}

{:\implies \quad \sf -2=2\times 1}

{:\implies \quad \sf -2=2}

As , it's <em>not possible</em> . So this <em>option is wrong </em>

Checking for equation four :

{:\implies \quad \sf y=-2x}

{:\implies \quad \sf -2=-2\times 1}

{:\implies \quad \sf -2=-2}

As the <em>fourth equation</em> satisfied the <em>ordered</em> <em>pair</em> ,

Hence , Option D) y = -2x is correct

lisov135 [29]2 years ago
5 0

Answer:

D. y = -2x

Step-by-step explanation:

I will be using (-2,4) for all answer choices

a. y = x + 2

4 = -2 + 2

4 = 0

This statement is false

b. y = x - 2

4 = -2 - 2

4 = -4

This statement is false

c. y = 2x

4 = 2(-2)

4 = -4

This statement is false

d. y = -2x

4 = -2(-2)

4 = 4

This statement is true

Therefore, the correct answer is d

Hope this helps!

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