Answer:
The correct option is 2.
Step-by-step explanation:
The slope of two parallel lines are equal.
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
In option 1, the equation of lines are
The first line is a horizontal line and the second line is a vertical line. Therefore they are not parallel line. Option 1 is incorrect.
In option 2, the equation of lines are
By using the slope intercept form of a line, the slope of first line is 4 and the slope of second line is 4.
Since the slope of both lines are same, therefore both lines are parallel. Option 2 is correct.
In option 2, the equation of lines are
By using the slope intercept form of a line, the slope of first line is 5 and the slope of second line is -5.
Since the slope of both lines are not same, therefore both lines are not parallel. Option 3 is incorrect.
