Final answer:
The first line has a slope of -2 and the second line has a slope of -½ after converting it to slope-intercept form. Since the slopes are different and their product is not -1, the lines are neither parallel nor perpendicular.
Step-by-step explanation:
To determine if two lines are parallel, perpendicular, or neither, we need to compare their slopes. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. For the first line, y = -2x + 1, the slope is -2. The second line is written in standard form, x + 2y = 7. To find its slope, we can rewrite it in slope-intercept form by solving for y which gives us y = -½x + ⅔, so the slope is -½. Two lines are parallel if they have the same slope, and they are perpendicular if the product of their slopes is -1. Since the slopes are different and their product is not -1, the lines are neither parallel nor perpendicular to each other.