What can be said about two lines with equations y=5x+10

and y=5x−5
?(1 point)
Responses

The lines have different slopes but the same y
-intercepts.
The lines have different slopes but the same y -intercepts.

One line is rising while the other line is moving downward.
One line is rising while the other line is moving downward.

The lines intersect.
The lines intersect.

The lines are parallel.

1 answer

The correct response is: The lines are parallel.

Both lines have the same slope of 5 (as indicated by the coefficient of x in both equations), but they have different y-intercepts (10 and -5, respectively). Since they have the same slope but different y-intercepts, they will never intersect and are therefore parallel.