99.1k views
3 votes
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

Using the table of ordered pairs, which equation shows the linear relationship between-example-1

2 Answers

12 votes

We are given with four linear equations and need to find the best option which shows the relationship between x and y in accordance with the given table . 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 checking only for one ordered pair, let's say be 2nd i.e (1,-2)

Checking for equation one :


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


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


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

As , it's not possible . So this option is wrong

Checking for equation two :


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


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


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

As , it's not possible . So this option is wrong

Checking for equation three :


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


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


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

As , it's not possible . So this option is wrong

Checking for equation four :


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


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


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

As the fourth equation satisfied the ordered pair ,

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

User Tojo Chacko
by
8.0k points
7 votes

Answer:

D. y = -2x

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!

User Satu
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories