Question

Choose the system of equations which matches the following graph: a line includes points 6 comma 1 and 4 comma 0

3x − 6y = 12
9x − 18y = 36

3x + 6y = 12
9x + 18y = 36

3x − 6y = 12
9x + 18y = 36

3x + 6y = 12
9x − 18y = 36

Answer 1

Answer: FIRST OPTION

Explanation:

To solve this problem you can substitute any of the given points into each system:

Point(6,1)

System #1:

`3x-6y=12`

`3(6)-6(1)=12`

`12=12`

`9x-18y=36`

`9(6)-18(1)=36`

`36=36`

(This system matches the graph)

System #2:

`3x+6y=12`

`3(6)+6(1)=12`

`24=12`

`9x+18y=36`

`9(6)+18(1)=36`

`72=36`

(The system does not matches the graph)

System #3:

`3x-6y=12`

`3(6)-6(1)=12`

`12=12`

`9x+18y=36`

`9(6)+18(1)=36`

`72=36`

(The system does not matches the graph)

System #4:

`3(6)+6(1)=12`

`24=12`

`9x-18y=36`

`9(6)-18(1)=36`

`36=36`

(The system does not matches the graph)