Final answer:
The lines y = -2x + 5 and y = -12x - 3 represent two straight lines. Their slopes are -2 and -12, respectively, which are not equal. Therefore, the lines are neither parallel nor perpendicular.
Step-by-step explanation:
The lines y = -2x + 5 and y = -12x - 3 represent two straight lines in the Cartesian coordinate system. To determine whether these lines are parallel, perpendicular, or neither, we need to compare their slopes. The slope of a line can be determined from the equation in the form y = mx + b, where m represents the slope.
Comparing the equations y = -2x + 5 and y = -12x - 3, we can see that the slopes are -2 and -12, respectively. Since these slopes are not equal, the lines are neither parallel nor perpendicular.