Respuesta :

Second graph.

Explanation:

Hello! You haven't provided any relationship, but I found it on the internet and it is the table attached below. The point-slope form of the equation of a line is given by:

[tex]y=mx+b[/tex]

So:

[tex]y-Intercept: \\ \\ (0,b) \\ \\ \\ From \ the \ table: \\ \\ (0,b)=(0,46) \\ \\ So: \\ \\ b=46[/tex]

Finding the slope:

[tex]m=\frac{39-46}{1-0} \\ \\ m=-7[/tex]

So the equation of the line is:

[tex]y=-7x+46[/tex]

From the graphs, only option 2 and 4 have negative slope and only option 2 passes through [tex](0,46)[/tex]

Conclusion: Correct option is second graph.

Learn more:

Parallel lines: https://brainly.com/question/12169569

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