Final answer:
Line 1 has a different slope and is neither parallel nor perpendicular to Lines 2 and 3. Lines 2 and 3 have the same slope, indicating that they are parallel to each other.
Step-by-step explanation:
In order to determine whether the lines are parallel, perpendicular, or neither, we must first find the slope (slope) of each line. Slope is represented as the rise over run in the equation of a line, which is in the form of y = mx + b, where 'm' represents the slope and 'b' represents the y-intercept.
Line 1 can be written in slope-intercept form as y = 0.4x + 0.4. Therefore, the slope of Line 1 is 0.4. Line 2, given as 2y = 5x - 7, can be put into slope-intercept form as y = 2.5x - 3.5, which means the slope is 2.5. Line 3 is already in slope-intercept form, and as y = 5/2x - 5, its slope is also 2.5.
Comparing these slopes, Line 2 and Line 3 have the same slope (2.5), which means they are parallel. Line 1 with a slope of 0.4 is neither parallel nor perpendicular to Lines 2 and 3, as the slopes are neither equal (for parallel lines) nor negative reciprocals of each other (for perpendicular lines).