1. The problem asks us to find which equation is parallel to the line given by $$y = -2x + 13$$. 2. Recall that two lines are parallel if and only if they have the same slope. 3. The slope-intercept form of a line is $$y = mx + b$$, where $$m$$ is the slope and $$b$$ is the y-intercept. 4. For the given line, the slope $$m = -2$$. 5. Now, check the slopes of each option: - $$y = -\frac{1}{2}x + 13$$ has slope $$-\frac{1}{2}$$. - $$y = \frac{1}{2}x - 9$$ has slope $$\frac{1}{2}$$. - $$y = -2x - 5$$ has slope $$-2$$. - $$y = 2x + 7$$ has slope $$2$$. 6. The only equation with the same slope $$-2$$ is $$y = -2x - 5$$. 7. Therefore, the equation parallel to $$y = -2x + 13$$ is $$y = -2x - 5$$.