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

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

Answer 2

Table C

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