Question

One of the tables shows a proportional relationship. Graph the line representing the proportional relationship from this table in the 1st photo.
Tell me which graph numbers a,b,c,d

Answer 1

Answer:

Table C

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Find the value of the constant of proportionality in each table

Table A

For $x=-2, y=-4$ ------>$k=-4/-2=2$  

For $x=-1, y=-3$ ------>$k=-3/-1=3$  

This table has different values of k

therefore

the table A does not represent a proportional relationship

Table B

For $x=-2, y=-4$ ------>$k=-4/-2=2$  

For $x=-1, y=-2$ ------>$k=-2/-1=2$  

For $x=1, y=3$ ------>$k=3/1=3$  

This table has different values of k

therefore

the table B does not represent a proportional relationship

Table C

For $x=-2, y=-4$ ------>$k=-4/-2=2$  

For $x=-1, y=-2$ ------>$k=-2/-1=2$  

For $x=1, y=2$ ------>$k=2/1=2$  

For $x=2, y=4$ ------>$k=4/2=2$  

This table has the same value of k

therefore

the table C  represent a proportional relationship

Table D

For $x=-2, y=-4$ ------>$k=-4/-2=2$  

For $x=-1, y=-2$ ------>$k=-2/-1=2$  

For $x=1, y=2$ ------>$k=2/1=2$  

For $x=2, y=6$ ------>$k=6/2=3$  

This table has different values of k

therefore

the table D does not represent a proportional relationship

Answer 2

So what you do is put y over x first which u will see will be the third graph as the answer because they all end up being 2/1 even if there negative its still proportional in a graph