There is nothing particular that can be said about them.
y = 1 - 4x
and y = (x - 4)2/16
have an x-intercept at (0, 4)
and a y-intercept at (1, 0).
But, apart from at these two points, the two behave quite independently.
There is some similarity in the form of the equations but that can be "fixed" by picking more complicated equations.
There are two possibilities. If the y intercepts are unique, the lines are parallel. If the y intercepts are the same, the lines are coincident. ( They are the same line)
They are parallel lines which have the same slope but different y intercepts.
To determine if two lines will intersect using their slopes, compare the slopes of the two lines. If the slopes are different, the lines will intersect at one point. If the slopes are the same and the y-intercepts are different, the lines are parallel and will not intersect. If both the slopes and y-intercepts are the same, the lines are coincident and overlap entirely.
Parallel lines
No because two lines with the same slope but with different y intercepts are parallel lines. Perpendicular lines meet each other at right angles.
There are two possibilities. If the y intercepts are unique, the lines are parallel. If the y intercepts are the same, the lines are coincident. ( They are the same line)
Same slope and intercepts
No. In order to be parallel, two lines would have to have the same slope, and different intercepts.Why? Two lines with different slopes, but the same intercepts would result in two intersecting lines. Two lines with the same slope, and the same intercept would result in the same line. Two lines with the same slope, and different intercepts would be parallel.
They are parallel lines which have the same slope but different y intercepts.
They are parallel lines which have the same slope but different y intercepts.
That is correct and they will have different y intercepts
If the slopes are different the lines are neither - they intersect. They are parallel or coincident if the slopes are the same. Then, if the y-intercepts are the same they are coincident while if the y-intercepts are different, they are parallel.
To determine if two lines will intersect using their slopes, compare the slopes of the two lines. If the slopes are different, the lines will intersect at one point. If the slopes are the same and the y-intercepts are different, the lines are parallel and will not intersect. If both the slopes and y-intercepts are the same, the lines are coincident and overlap entirely.
When their slopes are of the same value and their y intercepts are different
Lines with the same slope but with different y intercepts are parallel.
Parallel lines
No because two lines with the same slope but with different y intercepts are parallel lines. Perpendicular lines meet each other at right angles.