Chapter 8.2, Problem 56E

To determine

The graph of which equation is shown?

Answer to Problem 56E

The graph of the equation $y=2$ is shown.

Explanation of Solution

Given:

A graph and four equations:

  $\text{F}\text{. }x=-2\text{ G}\text{. }y=-2\text{ H}\text{. }x=2\text{ I}\text{. }y=2$

Calculation:

Upon looking at our given graph, we can see that our graph is a horizontal line. We know that the equation of a horizontal line is in form $y=b$ , where $(0,b)$ is the point where line intersects y -axis.

Upon looking at our given graph, we can see that our given line crosses y -axis at $(0,2)$ .

Therefore, our required equation would be $y=2$ and option I is the correct choice.