Final answer:
The equations x=5 and y=(7)/(2) represent perpendicular lines, not parallel lines; one is vertical with an undefined slope, and the other is horizontal with a slope of 0.
Step-by-step explanation:
The equations given l₁: x=5 and l₂: y=(7)/(2) represent two lines on a coordinate plane. To determine if these lines are parallel, we need to identify their slopes. The equation x=5 represents a vertical line, which means it is parallel to the y-axis and has an undefined slope. On the other hand, the equation y=(7)/(2) represents a horizontal line that is parallel to the x-axis and has a slope of 0.
Since one line is vertical and the other is horizontal, they are perpendicular to each other, not parallel. Therefore, the equations do not represent parallel lines.