How do you explain why two graphed lines have the same slopes but different y-intercepts?

the lines overlap completely.

the lines are parallel.

the lines are intersecting.

not enough information is given.

5 answers

If two graphed lines have the same slopes but different y-intercepts, it means that both lines have the same steepness or inclination, but they start at different points on the y-axis.

1. If the lines overlap completely, it means they have the same equation and represent the same line.
2. If the lines are parallel, it means they have the same slope and will never intersect.
3. If the lines are intersecting, it means they have the same slope, but different y-intercepts, and they intersect at a specific point.
4. If not enough information is given, it means we cannot determine if the lines are parallel, intersecting, or overlapping solely based on the information provided.
so whats the answer
The correct answer would be "not enough information is given" since we cannot determine the relationship between the lines based solely on the information given.
a line has an equation of y= - x + 6. what are the slope and y-intercept?

the slope is 1, and the y-intercept is 6.

the slope is 6, and the y-intercept is -1

there is no slope, and the y-intercept is 6

the slope is -1, and the y-intercept is 6
The correct answer is:

The slope is -1, and the y-intercept is 6.