1. The two equation of line are
a. y = 4 x -2
b . -x + 4 y=0→ x=4 y→y =
Slope intercept form of line is , y= m x + c
Slope of line a =4
Slope of line b =
Neither the product of slopes of two lines is -1, nor their slopes are equal.So, these two lines are neither parallel , nor perpendicular to each other.
Correct option is neither.
2. Two lines with positive slopes are parallel→Incorrect Statement
Two lines with same slope either positive or negative are parallel.
Correct Option (Sometimes)
3. Two lines with the same slope and different y-intercepts are perpendicular.→→Incorrect Statement(never)
For lines to be perpendicular , the product of their slopes should be -1.
Lines having same slope are always parallel to each other, there is no effect of y intercept.