From the image, the question asks which of the given equations describes the graph shown.

Steps to Solve:

1. Identify the slope and y-intercept of the graph:

   • The graph crosses the y-axis at $y = 2$, so the y-intercept is $2$.
   • The slope can be calculated by observing the change in $y$ and $x$. From the graph:
     • As $x$ increases by $1$, $y$ decreases by $2$, so the slope is $-2$.

2. Use the slope-intercept form $y = mx + b$:

   • Substituting $m = -2$ and $b = 2$, the equation of the line is $y = -2x + 2$.

3. Match the equation to the options:

   • Option (1) $y = -2x + 2$ matches the line.

Final Answer:

The correct equation is (1) $y = -2x + 2$.

Would you like a more detailed explanation or have questions?

Here are five related questions to expand your understanding:

1. How can you find the slope of a line if you’re only given two points?
2. What does the slope represent in a real-world scenario?
3. How do you determine the y-intercept from a graph?
4. What are the differences between positive and negative slopes?
5. How can you rewrite equations in slope-intercept form?

Tip: To quickly identify the slope from a graph, remember the formula $\text{slope} = \frac{\Delta y}{\Delta x}$.