Final answer:
Among the given lines, Line 1 and Line 3 are parallel, as well as Line 2 and Line 4, due to their identical slopes. None of the pairs are perpendicular and none of the provided options are correct.
Step-by-step explanation:
In order to determine which statement is true regarding the lines given, we need to compare their slopes. The slope of a line in the format y = mx + b is represented by 'm'. Two lines are parallel if they have the same slope, and they are perpendicular if the product of their slopes is -1.
Line 1: y = x - 3 has a slope of 1.
Line 2: y = -2x + 4 has a slope of -2.
Line 3: y = x + 9 has a slope of 1.
Line 4: y = -2x - 2 also has a slope of -2.
Comparing these slopes, we can see that Line 1 and Line 3 are parallel because they both have a slope of 1. Line 2 and Line 4 are also parallel because they both have a slope of -2. Lines that are perpendicular would have slopes that are negative reciprocals of each other. Since none of the line pairs have slopes that are negative reciprocals, none of them are perpendicular.
Therefore, the correct statement is none of the options provided; the correct statement would be that Line 1 and Line 3 are parallel as well as Line 2 and Line 4 are parallel.