1. The problem asks for the equation of the line shown in the graph. 2. The graph passes through points (-5, -5) and (5, 5). 3. The formula for the equation of a line is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 4. Calculate the slope $m$ using the formula $$m = \frac{y_2 - y_1}{x_2 - x_1}$$. 5. Substitute the points: $$m = \frac{5 - (-5)}{5 - (-5)} = \frac{5 + 5}{5 + 5} = \frac{10}{10} = 1$$. 6. Since the line passes through the origin (0,0), the y-intercept $b = 0$. 7. Therefore, the equation of the line is $$y = 1 \cdot x + 0$$ which simplifies to $$y = x$$. This means for every value of $x$, $y$ is equal to $x$.